25161926400 has 864 divisors, whose sum is σ = 103896683520. Its totient is φ = 5912248320.

The previous prime is 25161926399. The next prime is 25161926407. The reversal of 25161926400 is 462916152.

25161926400 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 1 + 9 + 2 + 640 + 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 not an unprimeable number, because it can be changed into a prime (25161926407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51666957 + ... + 51667443.

Almost surely, 2^25161926400 is an apocalyptic number.

25161926400 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 25161926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51948341760).

25161926400 is an abundant number, since it is smaller than the sum of its proper divisors (78734757120).

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

25161926400 is a wasteful number, since it uses less digits than its factorization.

25161926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 25161926400 in words is "twenty-five billion, one hundred sixty-one million, nine hundred twenty-six thousand, four hundred".