50496255705600 has 480 divisors, whose sum is σ = 186005756566080. Its totient is φ = 13417721856000.

The previous prime is 50496255705587. The next prime is 50496255705629. The reversal of 50496255705600 is 650755269405.

50496255705600 is a `hidden beast` number, since 5 + 0 + 4 + 9 + 6 + 2 + 5 + 5 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96853615 + ... + 97373585.

It is an arithmetic number, because the mean of its divisors is an integer number (387511992846).

Almost surely, 2^{50496255705600} is an apocalyptic number.

50496255705600 is a gapful number since it is divisible by the number (50) 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 50496255705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93002878283040).

50496255705600 is an abundant number, since it is smaller than the sum of its proper divisors (135509500860480).

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

50496255705600 is a wasteful number, since it uses less digits than its factorization.

50496255705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520289 (or 520262 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 50496255705600 in words is "fifty trillion, four hundred ninety-six billion, two hundred fifty-five million, seven hundred five thousand, six hundred".