23679054400 has 63 divisors (see below), whose sum is σ = 58280422809. Its totient is φ = 9469159680.

The previous prime is 23679054397. The next prime is 23679054407. The reversal of 23679054400 is 445097632.

It is a happy number.

The square root of 23679054400 is 153880.

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

It can be written as a sum of positive squares in only one way, i.e., 8524459584 + 15154594816 = 92328^2 + 123104^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23679054407) 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 8 ways as a sum of consecutive naturals, for example, 6153277 + ... + 6157123.

Almost surely, 2^23679054400 is an apocalyptic number.

23679054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23679054400 is the 153880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23679054400

23679054400 is an abundant number, since it is smaller than the sum of its proper divisors (34601368409).

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

23679054400 is an frugal number, since it uses more digits than its factorization.

23679054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 23679054400 in words is "twenty-three billion, six hundred seventy-nine million, fifty-four thousand, four hundred".