25642262600 has 96 divisors (see below), whose sum is σ = 60253319880. Its totient is φ = 10148167680.

The previous prime is 25642262587. The next prime is 25642262663. The reversal of 25642262600 is 626224652.

It can be written as a sum of positive squares in 12 ways, for example, as 5769604 + 25636492996 = 2402^2 + 160114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9232412 + ... + 9235188.

Almost surely, 2^25642262600 is an apocalyptic number.

25642262600 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 25642262600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30126659940).

25642262600 is an abundant number, since it is smaller than the sum of its proper divisors (34611057280).

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

25642262600 is a wasteful number, since it uses less digits than its factorization.

25642262600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 25642262600 in words is "twenty-five billion, six hundred forty-two million, two hundred sixty-two thousand, six hundred".