50172580125600 has 576 divisors, whose sum is σ = 177322274648064. Its totient is φ = 12288992235520.

The previous prime is 50172580125599. The next prime is 50172580125641. The reversal of 50172580125600 is 652108527105.

50172580125600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×50172580125600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137320759 + ... + 137685641.

It is an arithmetic number, because the mean of its divisors is an integer number (307851171264).

Almost surely, 2^{50172580125600} is an apocalyptic number.

50172580125600 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 50172580125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88661137324032).

50172580125600 is an abundant number, since it is smaller than the sum of its proper divisors (127149694522464).

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

50172580125600 is a wasteful number, since it uses less digits than its factorization.

50172580125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365029 (or 365016 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 50172580125600 in words is "fifty trillion, one hundred seventy-two billion, five hundred eighty million, one hundred twenty-five thousand, six hundred".