25620649600 has 288 divisors, whose sum is σ = 79293948300. Its totient is φ = 8107868160.

The previous prime is 25620649597. The next prime is 25620649627. The reversal of 25620649600 is 694602652.

It can be written as a sum of positive squares in 6 ways, for example, as 13089190464 + 12531459136 = 114408^2 + 111944^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2032116 + ... + 2044684.

Almost surely, 2^25620649600 is an apocalyptic number.

25620649600 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 25620649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39646974150).

25620649600 is an abundant number, since it is smaller than the sum of its proper divisors (53673298700).

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

25620649600 is a wasteful number, since it uses less digits than its factorization.

25620649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12620 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 25620649600 in words is "twenty-five billion, six hundred twenty million, six hundred forty-nine thousand, six hundred".