25972401600 has 336 divisors, whose sum is σ = 97243900000. Its totient is φ = 6738370560.

The previous prime is 25972401529. The next prime is 25972401643. The reversal of 25972401600 is 610427952.

25972401600 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 2 + 40 + 1 + 600 = 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590276 + ... + 1606524.

Almost surely, 2^25972401600 is an apocalyptic number.

25972401600 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 25972401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48621950000).

25972401600 is an abundant number, since it is smaller than the sum of its proper divisors (71271498400).

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

25972401600 is a wasteful number, since it uses less digits than its factorization.

25972401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25972401600 in words is "twenty-five billion, nine hundred seventy-two million, four hundred one thousand, six hundred".