25601280016 has 135 divisors (see below), whose sum is σ = 57373891173. Its totient is φ = 11059476480.

The previous prime is 25601279989. The next prime is 25601280041. The reversal of 25601280016 is 61008210652.

The square root of 25601280016 is 160004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 25598720016 + 2560000 = 159996^2 + 1600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25601280016.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141443446 + ... + 141443626.

Almost surely, 2^25601280016 is an apocalyptic number.

25601280016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25601280016 is the 160004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25601280016

25601280016 is an abundant number, since it is smaller than the sum of its proper divisors (31772611157).

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

25601280016 is a wasteful number, since it uses less digits than its factorization.

25601280016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 25601280016 its reverse (61008210652), we get a palindrome (86609490668).

The spelling of 25601280016 in words is "twenty-five billion, six hundred one million, two hundred eighty thousand, sixteen".