25253696160 has 1152 divisors, whose sum is σ = 115308748800. Its totient is φ = 5013964800.

The previous prime is 25253696107. The next prime is 25253696257. The reversal of 25253696160 is 6169635252.

25253696160 is a `hidden beast` number, since 2 + 5 + 25 + 3 + 6 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319667001 + ... + 319667079.

It is an arithmetic number, because the mean of its divisors is an integer number (100094400).

Almost surely, 2^25253696160 is an apocalyptic number.

25253696160 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 25253696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57654374400).

25253696160 is an abundant number, since it is smaller than the sum of its proper divisors (90055052640).

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

25253696160 is a wasteful number, since it uses less digits than its factorization.

25253696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 25253696160 in words is "twenty-five billion, two hundred fifty-three million, six hundred ninety-six thousand, one hundred sixty".