10931312257632 has 864 divisors, whose sum is σ = 37484436225600. Its totient is φ = 2997323366400.

The previous prime is 10931312257589. The next prime is 10931312257661. The reversal of 10931312257632 is 23675221313901.

10931312257632 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 1 + 3 + 1 + 2 + 2 + 5 + 7 + 632 = 666.

It is a super-2 number, since 2×10931312257632² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2513520994 + ... + 2513525342.

It is an arithmetic number, because the mean of its divisors is an integer number (43384764150).

Almost surely, 2^{10931312257632} is an apocalyptic number.

10931312257632 is a gapful number since it is divisible by the number (12) 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 10931312257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742218112800).

10931312257632 is an abundant number, since it is smaller than the sum of its proper divisors (26553123967968).

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

10931312257632 is a wasteful number, since it uses less digits than its factorization.

10931312257632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10931312257632 in words is "ten trillion, nine hundred thirty-one billion, three hundred twelve million, two hundred fifty-seven thousand, six hundred thirty-two".