23953752900 has 729 divisors, whose sum is σ = 97456006557. Its totient is φ = 4903113600.

The previous prime is 23953752887. The next prime is 23953752923. The reversal of 23953752900 is 925735932.

The square root of 23953752900 is 154770.

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

23953752900 is a `hidden beast` number, since 2 + 3 + 95 + 37 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8623351044 + 15330401856 = 92862^2 + 123816^2 .

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 242 ways as a sum of consecutive naturals, for example, 357518667 + ... + 357518733.

Almost surely, 2^23953752900 is an apocalyptic number.

23953752900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23953752900 is the 154770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23953752900

23953752900 is an abundant number, since it is smaller than the sum of its proper divisors (73502253657).

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

23953752900 is a wasteful number, since it uses less digits than its factorization.

23953752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 23953752900 in words is "twenty-three billion, nine hundred fifty-three million, seven hundred fifty-two thousand, nine hundred".