10572375056100 has 1152 divisors, whose sum is σ = 38051580542976. Its totient is φ = 2229976320000.

The previous prime is 10572375056083. The next prime is 10572375056137. The reversal of 10572375056100 is 165057327501.

It is a super-2 number, since 2×10572375056100² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 33994774945 + ... + 33994775255.

It is an arithmetic number, because the mean of its divisors is an integer number (33030885888).

Almost surely, 2^{10572375056100} is an apocalyptic number.

10572375056100 is a gapful number since it is divisible by the number (10) 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 10572375056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025790271488).

10572375056100 is an abundant number, since it is smaller than the sum of its proper divisors (27479205486876).

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

10572375056100 is a wasteful number, since it uses less digits than its factorization.

10572375056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 10572375056100 in words is "ten trillion, five hundred seventy-two billion, three hundred seventy-five million, fifty-six thousand, one hundred".