23079686400 has 405 divisors, whose sum is σ = 85742469813. Its totient is φ = 6125414400.

The previous prime is 23079686389. The next prime is 23079686401. The reversal of 23079686400 is 468697032.

The square root of 23079686400 is 151920.

It is a perfect power (a square), and thus also a powerful number.

23079686400 is a `hidden beast` number, since 230 + 7 + 9 + 6 + 8 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8308687104 + 14770999296 = 91152^2 + 121536^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 (23079686401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109382295 + ... + 109382505.

Almost surely, 2^23079686400 is an apocalyptic number.

23079686400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23079686400 is the 151920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23079686400

23079686400 is an abundant number, since it is smaller than the sum of its proper divisors (62662783413).

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

23079686400 is an frugal number, since it uses more digits than its factorization.

23079686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23079686400 in words is "twenty-three billion, seventy-nine million, six hundred eighty-six thousand, four hundred".