10631791600 has 60 divisors (see below), whose sum is σ = 25588162600. Its totient is φ = 4245177600.

The previous prime is 10631791567. The next prime is 10631791627. The reversal of 10631791600 is 619713601.

10631791600 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 2×10631791600² (a number of 21 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205126 + ... + 251674.

Almost surely, 2^10631791600 is an apocalyptic number.

10631791600 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 10631791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794081300).

10631791600 is an abundant number, since it is smaller than the sum of its proper divisors (14956371000).

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

10631791600 is a wasteful number, since it uses less digits than its factorization.

10631791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47138 (or 47127 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 10631791600 in words is "ten billion, six hundred thirty-one million, seven hundred ninety-one thousand, six hundred".