25818372864 has 216 divisors, whose sum is σ = 77658158032. Its totient is φ = 8554844160.

The previous prime is 25818372863. The next prime is 25818372869. The reversal of 25818372864 is 46827381852.

25818372864 is a `hidden beast` number, since 2 + 581 + 8 + 37 + 28 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25818372864.

It is not an unprimeable number, because it can be changed into a prime (25818372863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11258502 + ... + 11260794.

Almost surely, 2^25818372864 is an apocalyptic number.

25818372864 is a gapful number since it is divisible by the number (24) 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 25818372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38829079016).

25818372864 is an abundant number, since it is smaller than the sum of its proper divisors (51839785168).

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

25818372864 is an equidigital number, since it uses as much as digits as its factorization.

25818372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2479 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 25818372864 in words is "twenty-five billion, eight hundred eighteen million, three hundred seventy-two thousand, eight hundred sixty-four".