25056145400 has 192 divisors, whose sum is σ = 69054642720. Its totient is φ = 8334950400.

The previous prime is 25056145399. The next prime is 25056145409. The reversal of 25056145400 is 454165052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25056145409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3227924 + ... + 3235676.

Almost surely, 2^25056145400 is an apocalyptic number.

25056145400 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 25056145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34527321360).

25056145400 is an abundant number, since it is smaller than the sum of its proper divisors (43998497320).

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

25056145400 is a wasteful number, since it uses less digits than its factorization.

25056145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 25056145400 in words is "twenty-five billion, fifty-six million, one hundred forty-five thousand, four hundred".