10172056400 has 120 divisors (see below), whose sum is σ = 27036358848. Its totient is φ = 3646720000.

The previous prime is 10172056361. The next prime is 10172056459. The reversal of 10172056400 is 465027101.

It is a self number, because there is not a number n which added to its sum of digits gives 10172056400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296120 + ... + 328680.

Almost surely, 2^10172056400 is an apocalyptic number.

10172056400 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 10172056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518179424).

10172056400 is an abundant number, since it is smaller than the sum of its proper divisors (16864302448).

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

10172056400 is a wasteful number, since it uses less digits than its factorization.

10172056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32661 (or 32650 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 10172056400 in words is "ten billion, one hundred seventy-two million, fifty-six thousand, four hundred".