10630872000 has 896 divisors, whose sum is σ = 45646848000. Its totient is φ = 2372198400.

The previous prime is 10630871903. The next prime is 10630872011. The reversal of 10630872000 is 27803601.

10630872000 is a `hidden beast` number, since 1 + 0 + 630 + 8 + 7 + 20 + 0 + 0 = 666.

10630872000 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 2×10630872000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119447956 + ... + 119448044.

Almost surely, 2^10630872000 is an apocalyptic number.

10630872000 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 10630872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424000).

10630872000 is an abundant number, since it is smaller than the sum of its proper divisors (35015976000).

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

10630872000 is an equidigital number, since it uses as much as digits as its factorization.

10630872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10630872000 in words is "ten billion, six hundred thirty million, eight hundred seventy-two thousand".