23864983632400 has 135 divisors (see below), whose sum is σ = 58592759860839. Its totient is φ = 9341089463040.

The previous prime is 23864983632379. The next prime is 23864983632467. The reversal of 23864983632400 is 423638946832.

The square root of 23864983632400 is 4885180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 803167270416 + 23061816361984 = 896196^2 + 4802272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4592066602 + ... + 4592071798.

Almost surely, 2^{23864983632400} is an apocalyptic number.

23864983632400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23864983632400 is the 4885180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23864983632400

23864983632400 is an abundant number, since it is smaller than the sum of its proper divisors (34727776228439).

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

23864983632400 is an frugal number, since it uses more digits than its factorization.

23864983632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 58.

The spelling of 23864983632400 in words is "twenty-three trillion, eight hundred sixty-four billion, nine hundred eighty-three million, six hundred thirty-two thousand, four hundred".