25055606400 has 576 divisors, whose sum is σ = 95753201760. Its totient is φ = 5709824000.

The previous prime is 25055606399. The next prime is 25055606479. The reversal of 25055606400 is 460655052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30517990 + ... + 30518810.

Almost surely, 2^25055606400 is an apocalyptic number.

25055606400 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 25055606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876600880).

25055606400 is an abundant number, since it is smaller than the sum of its proper divisors (70697595360).

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

25055606400 is a wasteful number, since it uses less digits than its factorization.

25055606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 25055606400 in words is "twenty-five billion, fifty-five million, six hundred six thousand, four hundred".