25472512800 has 864 divisors, whose sum is σ = 109967336640. Its totient is φ = 5670604800.

The previous prime is 25472512799. The next prime is 25472512831. The reversal of 25472512800 is 821527452.

It is a happy number.

25472512800 is a `hidden beast` number, since 2 + 547 + 25 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 43394107 + ... + 43394693.

It is an arithmetic number, because the mean of its divisors is an integer number (127277010).

Almost surely, 2^25472512800 is an apocalyptic number.

25472512800 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 25472512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54983668320).

25472512800 is an abundant number, since it is smaller than the sum of its proper divisors (84494823840).

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

25472512800 is a wasteful number, since it uses less digits than its factorization.

25472512800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 25472512800 in words is "twenty-five billion, four hundred seventy-two million, five hundred twelve thousand, eight hundred".