23031000008640 has 840 divisors, whose sum is σ = 89227753784928. Its totient is φ = 5636214005760.

The previous prime is 23031000008573. The next prime is 23031000008659. The reversal of 23031000008640 is 4680000013032.

It is a happy number.

23031000008640 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 10 + 0 + 0 + 0 + 0 + 8 + 640 = 666.

It is a super-2 number, since 2×23031000008640² (a number of 28 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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 757807845 + ... + 757838235.

Almost surely, 2^{23031000008640} is an apocalyptic number.

23031000008640 is a gapful number since it is divisible by the number (20) 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 23031000008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44613876892464).

23031000008640 is an abundant number, since it is smaller than the sum of its proper divisors (66196753776288).

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

23031000008640 is a wasteful number, since it uses less digits than its factorization.

23031000008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30619 (or 30587 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 23031000008640 in words is "twenty-three trillion, thirty-one billion, eight thousand, six hundred forty".