2565401122368 has 448 divisors, whose sum is σ = 8797903257600. Its totient is φ = 717930639360.

The previous prime is 2565401122367. The next prime is 2565401122373. The reversal of 2565401122368 is 8632211045652.

2565401122368 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 401 + 1 + 2 + 236 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (2565401122367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115179073 + ... + 115201343.

Almost surely, 2^{2565401122368} is an apocalyptic number.

2565401122368 is a gapful number since it is divisible by the number (28) 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 2565401122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398951628800).

2565401122368 is an abundant number, since it is smaller than the sum of its proper divisors (6232502135232).

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

2565401122368 is a wasteful number, since it uses less digits than its factorization.

2565401122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22495 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2565401122368 in words is "two trillion, five hundred sixty-five billion, four hundred one million, one hundred twenty-two thousand, three hundred sixty-eight".