50259979572480 has 864 divisors, whose sum is σ = 177738428649600. Its totient is φ = 13110285238272.

The previous prime is 50259979572463. The next prime is 50259979572553. The reversal of 50259979572480 is 8427597995205.

50259979572480 is a `hidden beast` number, since 5 + 0 + 2 + 5 + 9 + 9 + 7 + 9 + 572 + 48 + 0 = 666.

It is a super-2 number, since 2×50259979572480² (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 = 50259979572399 and 50259979572408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60627236706 + ... + 60627237534.

It is an arithmetic number, because the mean of its divisors is an integer number (205715773900).

Almost surely, 2^{50259979572480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50259979572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88869214324800).

50259979572480 is an abundant number, since it is smaller than the sum of its proper divisors (127478449077120).

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

50259979572480 is a wasteful number, since it uses less digits than its factorization.

50259979572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 50259979572480 in words is "fifty trillion, two hundred fifty-nine billion, nine hundred seventy-nine million, five hundred seventy-two thousand, four hundred eighty".