25786563600 has 360 divisors, whose sum is σ = 97730932320. Its totient is φ = 5793392640.

The previous prime is 25786563599. The next prime is 25786563601. The reversal of 25786563600 is 636568752.

It is an interprime number because it is at equal distance from previous prime (25786563599) and next prime (25786563601).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25786563600.

It is not an unprimeable number, because it can be changed into a prime (25786563601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3465484 + ... + 3472916.

It is an arithmetic number, because the mean of its divisors is an integer number (271474812).

Almost surely, 2^25786563600 is an apocalyptic number.

25786563600 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 25786563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48865466160).

25786563600 is an abundant number, since it is smaller than the sum of its proper divisors (71944368720).

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

25786563600 is a wasteful number, since it uses less digits than its factorization.

25786563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 25786563600 in words is "twenty-five billion, seven hundred eighty-six million, five hundred sixty-three thousand, six hundred".