25752484800 has 504 divisors, whose sum is σ = 105023412000. Its totient is φ = 5862850560.

The previous prime is 25752484789. The next prime is 25752484829. The reversal of 25752484800 is 848425752.

25752484800 is a `hidden beast` number, since 25 + 75 + 2 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45258916 + ... + 45259484.

Almost surely, 2^25752484800 is an apocalyptic number.

25752484800 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 25752484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511706000).

25752484800 is an abundant number, since it is smaller than the sum of its proper divisors (79270927200).

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

25752484800 is a wasteful number, since it uses less digits than its factorization.

25752484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 25752484800 in words is "twenty-five billion, seven hundred fifty-two million, four hundred eighty-four thousand, eight hundred".