2565125366400 has 240 divisors, whose sum is σ = 9465877648590. Its totient is φ = 684033361920.

The previous prime is 2565125366383. The next prime is 2565125366417. The reversal of 2565125366400 is 46635215652.

2565125366400 is a `hidden beast` number, since 2 + 5 + 6 + 51 + 2 + 536 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2565125366383) and next prime (2565125366417).

It can be written as a sum of positive squares in 3 ways, for example, as 1687276298304 + 877849068096 = 1298952^2 + 936936^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 29 ways as a sum of consecutive naturals, for example, 4688959 + ... + 5207358.

Almost surely, 2^{2565125366400} is an apocalyptic number.

2565125366400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565125366400 is an abundant number, since it is smaller than the sum of its proper divisors (6900752282190).

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

2565125366400 is an equidigital number, since it uses as much as digits as its factorization.

2565125366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896353 (or 9896327 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2565125366400 in words is "two trillion, five hundred sixty-five billion, one hundred twenty-five million, three hundred sixty-six thousand, four hundred".