25612801600 has 63 divisors (see below), whose sum is σ = 63039255811. Its totient is φ = 10242560000.

The previous prime is 25612801589. The next prime is 25612801601. The reversal of 25612801600 is 610821652.

The square root of 25612801600 is 160040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11281838656 + 14330962944 = 106216^2 + 119712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25612801601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6399600 + ... + 6403600.

Almost surely, 2^25612801600 is an apocalyptic number.

25612801600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25612801600 is the 160040-th square number.

It is an amenable number.

25612801600 is an abundant number, since it is smaller than the sum of its proper divisors (37426454211).

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

25612801600 is an frugal number, since it uses more digits than its factorization.

25612801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 4008 counting only the distinct ones).

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

The spelling of 25612801600 in words is "twenty-five billion, six hundred twelve million, eight hundred one thousand, six hundred".