25750418400 has 864 divisors, whose sum is σ = 109193011200. Its totient is φ = 5800273920.

The previous prime is 25750418399. The next prime is 25750418411. The reversal of 25750418400 is 481405752.

25750418400 is a `hidden beast` number, since 2 + 575 + 0 + 4 + 1 + 84 + 0 + 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 a congruent number.

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, 172821526 + ... + 172821674.

It is an arithmetic number, because the mean of its divisors is an integer number (126380800).

Almost surely, 2^25750418400 is an apocalyptic number.

25750418400 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 25750418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54596505600).

25750418400 is an abundant number, since it is smaller than the sum of its proper divisors (83442592800).

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

25750418400 is a wasteful number, since it uses less digits than its factorization.

25750418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

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

The spelling of 25750418400 in words is "twenty-five billion, seven hundred fifty million, four hundred eighteen thousand, four hundred".