25263675360 has 768 divisors, whose sum is σ = 112399902720. Its totient is φ = 5146951680.

The previous prime is 25263675347. The next prime is 25263675383. The reversal of 25263675360 is 6357636252.

25263675360 is a `hidden beast` number, since 2 + 5 + 2 + 636 + 7 + 5 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×25263675360² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17629204 + ... + 17630636.

It is an arithmetic number, because the mean of its divisors is an integer number (146354040).

Almost surely, 2^25263675360 is an apocalyptic number.

25263675360 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 25263675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56199951360).

25263675360 is an abundant number, since it is smaller than the sum of its proper divisors (87136227360).

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

25263675360 is a wasteful number, since it uses less digits than its factorization.

25263675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 25263675360 in words is "twenty-five billion, two hundred sixty-three million, six hundred seventy-five thousand, three hundred sixty".