23987814400 has 255 divisors, whose sum is σ = 65437852105. Its totient is φ = 8722841600.

The previous prime is 23987814337. The next prime is 23987814421. The reversal of 23987814400 is 441878932.

The square root of 23987814400 is 154880.

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., 8635613184 + 15352201216 = 92928^2 + 123904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2180710395 + ... + 2180710405.

Almost surely, 2^23987814400 is an apocalyptic number.

23987814400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23987814400 is the 154880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23987814400

23987814400 is an abundant number, since it is smaller than the sum of its proper divisors (41450037705).

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

23987814400 is an frugal number, since it uses more digits than its factorization.

23987814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 23987814400 in words is "twenty-three billion, nine hundred eighty-seven million, eight hundred fourteen thousand, four hundred".