23853964320 has 384 divisors, whose sum is σ = 87671808000. Its totient is φ = 6049520640.

The previous prime is 23853964301. The next prime is 23853964327. The reversal of 23853964320 is 2346935832.

23853964320 is a `hidden beast` number, since 2 + 38 + 539 + 64 + 3 + 20 = 666.

It is a super-2 number, since 2×23853964320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23853964327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7899771 + ... + 7902789.

It is an arithmetic number, because the mean of its divisors is an integer number (228312000).

Almost surely, 2^23853964320 is an apocalyptic number.

23853964320 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 23853964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43835904000).

23853964320 is an abundant number, since it is smaller than the sum of its proper divisors (63817843680).

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

23853964320 is a wasteful number, since it uses less digits than its factorization.

23853964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 23853964320 in words is "twenty-three billion, eight hundred fifty-three million, nine hundred sixty-four thousand, three hundred twenty".