23700045600 has 1296 divisors, whose sum is σ = 110031457536. Its totient is φ = 4741632000.

The previous prime is 23700045581. The next prime is 23700045619. The reversal of 23700045600 is 654000732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23700045581) and next prime (23700045619).

It is a super-2 number, since 2×23700045600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 120304702 + ... + 120304898.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 2^23700045600 is an apocalyptic number.

23700045600 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 23700045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55015728768).

23700045600 is an abundant number, since it is smaller than the sum of its proper divisors (86331411936).

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

23700045600 is a wasteful number, since it uses less digits than its factorization.

23700045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 23700045600 in words is "twenty-three billion, seven hundred million, forty-five thousand, six hundred".