25082265600 has 816 divisors, whose sum is σ = 106618394240. Its totient is φ = 5733089280.

The previous prime is 25082265581. The next prime is 25082265623. The reversal of 25082265600 is 656228052.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)² ⋅ 3! ⋅ 2!.

25082265600 is a `hidden beast` number, since 25 + 0 + 8 + 2 + 26 + 5 + 600 = 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 47 ways as a sum of consecutive naturals, for example, 3583180797 + ... + 3583180803.

Almost surely, 2^25082265600 is an apocalyptic number.

25082265600 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 25082265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53309197120).

25082265600 is an abundant number, since it is smaller than the sum of its proper divisors (81536128640).

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

25082265600 is an frugal number, since it uses more digits than its factorization.

25082265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25082265600 in words is "twenty-five billion, eighty-two million, two hundred sixty-five thousand, six hundred".