23364825120 has 1152 divisors, whose sum is σ = 103733360640. Its totient is φ = 4658135040.

The previous prime is 23364825101. The next prime is 23364825131. The reversal of 23364825120 is 2152846332.

23364825120 is a `hidden beast` number, since 2 + 3 + 3 + 64 + 82 + 512 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 295757241 + ... + 295757319.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 2^23364825120 is an apocalyptic number.

23364825120 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 23364825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866680320).

23364825120 is an abundant number, since it is smaller than the sum of its proper divisors (80368535520).

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

23364825120 is a wasteful number, since it uses less digits than its factorization.

23364825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23364825120 in words is "twenty-three billion, three hundred sixty-four million, eight hundred twenty-five thousand, one hundred twenty".