23813536320 has 672 divisors, whose sum is σ = 96406142976. Its totient is φ = 5283532800.

The previous prime is 23813536309. The next prime is 23813536337. The reversal of 23813536320 is 2363531832.

23813536320 is a `hidden beast` number, since 2 + 3 + 8 + 13 + 5 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181782655 + ... + 181782785.

Almost surely, 2^23813536320 is an apocalyptic number.

23813536320 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 23813536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48203071488).

23813536320 is an abundant number, since it is smaller than the sum of its proper divisors (72592606656).

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

23813536320 is a wasteful number, since it uses less digits than its factorization.

23813536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 23813536320 in words is "twenty-three billion, eight hundred thirteen million, five hundred thirty-six thousand, three hundred twenty".