23025484800 has 594 divisors, whose sum is σ = 85891207038. Its totient is φ = 5892341760.

The previous prime is 23025484789. The next prime is 23025484819. The reversal of 23025484800 is 848452032.

23025484800 is a `hidden beast` number, since 2 + 30 + 2 + 548 + 4 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 47775744 + 22977709056 = 6912^2 + 151584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 315417564 + ... + 315417636.

Almost surely, 2^23025484800 is an apocalyptic number.

23025484800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23025484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42945603519).

23025484800 is an abundant number, since it is smaller than the sum of its proper divisors (62865722238).

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

23025484800 is a wasteful number, since it uses less digits than its factorization.

23025484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 23025484800 in words is "twenty-three billion, twenty-five million, four hundred eighty-four thousand, eight hundred".