2525563969344 has 896 divisors, whose sum is σ = 8852152780800. Its totient is φ = 698587545600.

The previous prime is 2525563969343. The next prime is 2525563969433. The reversal of 2525563969344 is 4439693655252.

It is a happy number.

2525563969344 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 563 + 9 + 69 + 3 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525563969343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1074249769 + ... + 1074252119.

It is an arithmetic number, because the mean of its divisors is an integer number (9879634800).

Almost surely, 2^{2525563969344} is an apocalyptic number.

2525563969344 is a gapful number since it is divisible by the number (24) 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 2525563969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426076390400).

2525563969344 is an abundant number, since it is smaller than the sum of its proper divisors (6326588811456).

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

2525563969344 is a wasteful number, since it uses less digits than its factorization.

2525563969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2512 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 2525563969344 in words is "two trillion, five hundred twenty-five billion, five hundred sixty-three million, nine hundred sixty-nine thousand, three hundred forty-four".