22525040664 has 384 divisors, whose sum is σ = 78242112000. Its totient is φ = 5698916352.

The previous prime is 22525040653. The next prime is 22525040701. The reversal of 22525040664 is 46604052522.

22525040664 is a `hidden beast` number, since 225 + 25 + 0 + 406 + 6 + 4 = 666.

It is a super-3 number, since 3×22525040664³ (a number of 32 digits) contains 333 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29139382 + ... + 29140154.

It is an arithmetic number, because the mean of its divisors is an integer number (203755500).

Almost surely, 2^22525040664 is an apocalyptic number.

22525040664 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 22525040664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39121056000).

22525040664 is an abundant number, since it is smaller than the sum of its proper divisors (55717071336).

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

22525040664 is a wasteful number, since it uses less digits than its factorization.

22525040664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 22525040664 in words is "twenty-two billion, five hundred twenty-five million, forty thousand, six hundred sixty-four".