25944816216564 has 360 divisors, whose sum is σ = 79676015569920. Its totient is φ = 7340020644096.

The previous prime is 25944816216509. The next prime is 25944816216587. The reversal of 25944816216564 is 46561261844952.

25944816216564 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 4 + 8 + 1 + 62 + 1 + 6 + 564 = 666.

It is a super-2 number, since 2×25944816216564² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 845175264 + ... + 845205960.

It is an arithmetic number, because the mean of its divisors is an integer number (221322265472).

Almost surely, 2^{25944816216564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25944816216564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39838007784960).

25944816216564 is an abundant number, since it is smaller than the sum of its proper divisors (53731199353356).

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

25944816216564 is a wasteful number, since it uses less digits than its factorization.

25944816216564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31249 (or 31231 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 25944816216564 in words is "twenty-five trillion, nine hundred forty-four billion, eight hundred sixteen million, two hundred sixteen thousand, five hundred sixty-four".