10631201256 has 192 divisors, whose sum is σ = 32235840000. Its totient is φ = 3143093760.

The previous prime is 10631201249. The next prime is 10631201281. The reversal of 10631201256 is 65210213601.

10631201256 is a `hidden beast` number, since 1 + 0 + 631 + 2 + 0 + 1 + 25 + 6 = 666.

10631201256 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 2×10631201256² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4322155 + ... + 4324613.

It is an arithmetic number, because the mean of its divisors is an integer number (167895000).

Almost surely, 2^10631201256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10631201256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117920000).

10631201256 is an abundant number, since it is smaller than the sum of its proper divisors (21604638744).

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

10631201256 is a wasteful number, since it uses less digits than its factorization.

10631201256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10631201256 its reverse (65210213601), we get a palindrome (75841414857).

The spelling of 10631201256 in words is "ten billion, six hundred thirty-one million, two hundred one thousand, two hundred fifty-six".