25729344160 has 144 divisors (see below), whose sum is σ = 67602643416. Its totient is φ = 9242947584.

The previous prime is 25729344149. The next prime is 25729344191. The reversal of 25729344160 is 6144392752.

It can be written as a sum of positive squares in 12 ways, for example, as 1096669456 + 24632674704 = 33116^2 + 156948^2 .

It is a super-2 number, since 2×25729344160² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987622 + ... + 1013338.

Almost surely, 2^25729344160 is an apocalyptic number.

25729344160 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 25729344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33801321708).

25729344160 is an abundant number, since it is smaller than the sum of its proper divisors (41873299256).

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

25729344160 is a wasteful number, since it uses less digits than its factorization.

25729344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25795 (or 25774 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 25729344160 in words is "twenty-five billion, seven hundred twenty-nine million, three hundred forty-four thousand, one hundred sixty".