23102882640 has 160 divisors (see below), whose sum is σ = 79673293440. Its totient is φ = 6153283584.

The previous prime is 23102882603. The next prime is 23102882653. The reversal of 23102882640 is 4628820132.

23102882640 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 2 + 8 + 8 + 2 + 640 = 666.

It is a super-2 number, since 2×23102882640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23102882595 and 23102882604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901224 + ... + 1913336.

It is an arithmetic number, because the mean of its divisors is an integer number (497958084).

Almost surely, 2^23102882640 is an apocalyptic number.

23102882640 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 23102882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836646720).

23102882640 is an abundant number, since it is smaller than the sum of its proper divisors (56570410800).

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

23102882640 is a wasteful number, since it uses less digits than its factorization.

23102882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 23102882640 in words is "twenty-three billion, one hundred two million, eight hundred eighty-two thousand, six hundred forty".