25509369362816 has 256 divisors, whose sum is σ = 53658128160000. Its totient is φ = 12063385313280.

The previous prime is 25509369362791. The next prime is 25509369362831. The reversal of 25509369362816 is 61826396390552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34518767375 + ... + 34518768113.

It is an arithmetic number, because the mean of its divisors is an integer number (209602063125).

Almost surely, 2^{25509369362816} 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 25509369362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26829064080000).

25509369362816 is an abundant number, since it is smaller than the sum of its proper divisors (28148758797184).

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

25509369362816 is a wasteful number, since it uses less digits than its factorization.

25509369362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 65.

The spelling of 25509369362816 in words is "twenty-five trillion, five hundred nine billion, three hundred sixty-nine million, three hundred sixty-two thousand, eight hundred sixteen".