10557372000 has 192 divisors, whose sum is σ = 39527115264. Its totient is φ = 2413094400.

The previous prime is 10557371989. The next prime is 10557372029. The reversal of 10557372000 is 27375501.

It is a super-2 number, since 2×10557372000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21159 + ... + 146841.

It is an arithmetic number, because the mean of its divisors is an integer number (205870392).

Almost surely, 2^10557372000 is an apocalyptic number.

10557372000 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 10557372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763557632).

10557372000 is an abundant number, since it is smaller than the sum of its proper divisors (28969743264).

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

10557372000 is a wasteful number, since it uses less digits than its factorization.

10557372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125718 (or 125700 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The spelling of 10557372000 in words is "ten billion, five hundred fifty-seven million, three hundred seventy-two thousand".