10631440512 has 768 divisors, whose sum is σ = 41488312320. Its totient is φ = 2627665920.

The previous prime is 10631440471. The next prime is 10631440517. The reversal of 10631440512 is 21504413601.

It is a happy number.

10631440512 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 144 + 0 + 512 = 666.

It is a super-2 number, since 2×10631440512² (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 not an unprimeable number, because it can be changed into a prime (10631440517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55085088 + ... + 55085280.

It is an arithmetic number, because the mean of its divisors is an integer number (54021240).

Almost surely, 2^10631440512 is an apocalyptic number.

10631440512 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 10631440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744156160).

10631440512 is an abundant number, since it is smaller than the sum of its proper divisors (30856871808).

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

10631440512 is a wasteful number, since it uses less digits than its factorization.

10631440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10631440512 in words is "ten billion, six hundred thirty-one million, four hundred forty thousand, five hundred twelve".