25561432564416 has 784 divisors, whose sum is σ = 91165059280896. Its totient is φ = 6954537388032.

The previous prime is 25561432564411. The next prime is 25561432564439. The reversal of 25561432564416 is 61446523416552.

25561432564416 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 1 + 4 + 32 + 564 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25561432564411) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 567920985 + ... + 567965991.

Almost surely, 2^{25561432564416} 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 25561432564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45582529640448).

25561432564416 is an abundant number, since it is smaller than the sum of its proper divisors (65603626716480).

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

25561432564416 is an equidigital number, since it uses as much as digits as its factorization.

25561432564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45128 (or 45103 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 25561432564416 in words is "twenty-five trillion, five hundred sixty-one billion, four hundred thirty-two million, five hundred sixty-four thousand, four hundred sixteen".