25496816619680 has 144 divisors (see below), whose sum is σ = 70081335331560. Its totient is φ = 8740440834048.

The previous prime is 25496816619653. The next prime is 25496816619727. The reversal of 25496816619680 is 8691661869452.

It can be written as a sum of positive squares in 4 ways, for example, as 22706406735376 + 2790409884304 = 4765124^2 + 1670452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52198664 + ... + 52684856.

Almost surely, 2^{25496816619680} is an apocalyptic number.

25496816619680 is a gapful number since it is divisible by the number (20) 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 25496816619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35040667665780).

25496816619680 is an abundant number, since it is smaller than the sum of its proper divisors (44584518711880).

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

25496816619680 is a wasteful number, since it uses less digits than its factorization.

25496816619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492911 (or 492896 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 71.

The spelling of 25496816619680 in words is "twenty-five trillion, four hundred ninety-six billion, eight hundred sixteen million, six hundred nineteen thousand, six hundred eighty".