2525225682600 has 288 divisors, whose sum is σ = 8572896745920. Its totient is φ = 666076124160.

The previous prime is 2525225682559. The next prime is 2525225682613. The reversal of 2525225682600 is 62865225252.

2525225682600 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 22 + 568 + 2 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168150292 + ... + 168165308.

It is an arithmetic number, because the mean of its divisors is an integer number (29767002590).

Almost surely, 2^{2525225682600} is an apocalyptic number.

2525225682600 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 2525225682600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286448372960).

2525225682600 is an abundant number, since it is smaller than the sum of its proper divisors (6047671063320).

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

2525225682600 is a wasteful number, since it uses less digits than its factorization.

2525225682600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16049 (or 16037 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2525225682600 in words is "two trillion, five hundred twenty-five billion, two hundred twenty-five million, six hundred eighty-two thousand, six hundred".