23351273164800 has 2340 divisors, whose sum is σ = 99746121723924. Its totient is φ = 5219588505600.

The previous prime is 23351273164781. The next prime is 23351273164871. The reversal of 23351273164800 is 846137215332.

23351273164800 is a `hidden beast` number, since 2 + 3 + 3 + 512 + 73 + 1 + 64 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 957329178624 + 22393943986176 = 978432^2 + 4732224^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 134978457514 + ... + 134978457686.

Almost surely, 2^{23351273164800} is an apocalyptic number.

23351273164800 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 23351273164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49873060861962).

23351273164800 is an abundant number, since it is smaller than the sum of its proper divisors (76394848559124).

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

23351273164800 is an equidigital number, since it uses as much as digits as its factorization.

23351273164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23351273164800 in words is "twenty-three trillion, three hundred fifty-one billion, two hundred seventy-three million, one hundred sixty-four thousand, eight hundred".