25484306400 has 576 divisors, whose sum is σ = 108753039360. Its totient is φ = 5636044800.

The previous prime is 25484306389. The next prime is 25484306417. The reversal of 25484306400 is 460348452.

25484306400 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 4 + 3 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4684482 + ... + 4689918.

It is an arithmetic number, because the mean of its divisors is an integer number (188807360).

Almost surely, 2^25484306400 is an apocalyptic number.

25484306400 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 25484306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54376519680).

25484306400 is an abundant number, since it is smaller than the sum of its proper divisors (83268732960).

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

25484306400 is a wasteful number, since it uses less digits than its factorization.

25484306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25484306400 in words is "twenty-five billion, four hundred eighty-four million, three hundred six thousand, four hundred".