23013279172800 has 1008 divisors, whose sum is σ = 95593660780800. Its totient is φ = 5142212812800.

The previous prime is 23013279172781. The next prime is 23013279172831. The reversal of 23013279172800 is 827197231032.

23013279172800 is a `hidden beast` number, since 2 + 30 + 1 + 327 + 9 + 17 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×23013279172800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1076432511 + ... + 1076453889.

Almost surely, 2^{23013279172800} is an apocalyptic number.

23013279172800 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 23013279172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47796830390400).

23013279172800 is an abundant number, since it is smaller than the sum of its proper divisors (72580381608000).

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

23013279172800 is a wasteful number, since it uses less digits than its factorization.

23013279172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 23013279172800 in words is "twenty-three trillion, thirteen billion, two hundred seventy-nine million, one hundred seventy-two thousand, eight hundred".