25564718419968 has 832 divisors, whose sum is σ = 87505046945792. Its totient is φ = 6456732549120.

The previous prime is 25564718419931. The next prime is 25564718419969. The reversal of 25564718419968 is 86991481746552.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×25564718419968² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25564718419968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25564718419969) 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, 3362447655 + ... + 3362455257.

Almost surely, 2^{25564718419968} is an apocalyptic number.

25564718419968 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 25564718419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43752523472896).

25564718419968 is an abundant number, since it is smaller than the sum of its proper divisors (61940328525824).

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

25564718419968 is a wasteful number, since it uses less digits than its factorization.

25564718419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7756 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 75.

The spelling of 25564718419968 in words is "twenty-five trillion, five hundred sixty-four billion, seven hundred eighteen million, four hundred nineteen thousand, nine hundred sixty-eight".