25204645620 has 288 divisors, whose sum is σ = 95501742336. Its totient is φ = 5227315200.

The previous prime is 25204645559. The next prime is 25204645637. The reversal of 25204645620 is 2654640252.

25204645620 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 4 + 645 + 6 + 2 + 0 = 666.

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, 8882842 + ... + 8885678.

It is an arithmetic number, because the mean of its divisors is an integer number (331603272).

Almost surely, 2^25204645620 is an apocalyptic number.

25204645620 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 25204645620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47750871168).

25204645620 is an abundant number, since it is smaller than the sum of its proper divisors (70297096716).

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

25204645620 is a wasteful number, since it uses less digits than its factorization.

25204645620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3506 counting only the distinct ones).

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

The spelling of 25204645620 in words is "twenty-five billion, two hundred four million, six hundred forty-five thousand, six hundred twenty".