50087779467264 has 2048 divisors, whose sum is σ = 194387924736000. Its totient is φ = 12521066987520.

The previous prime is 50087779467259. The next prime is 50087779467269. The reversal of 50087779467264 is 46276497778005.

50087779467264 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 77 + 79 + 467 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (50087779467259) and next prime (50087779467269).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×50087779467264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 50087779467192 and 50087779467201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50087779467269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160024854372 + ... + 160024854684.

It is an arithmetic number, because the mean of its divisors is an integer number (94915978875).

Almost surely, 2^{50087779467264} is an apocalyptic number.

50087779467264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50087779467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97193962368000).

50087779467264 is an abundant number, since it is smaller than the sum of its proper divisors (144300145268736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50087779467264 is an frugal number, since it uses more digits than its factorization.

50087779467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 50087779467264 in words is "fifty trillion, eighty-seven billion, seven hundred seventy-nine million, four hundred sixty-seven thousand, two hundred sixty-four".