25408979095824 has 135 divisors (see below), whose sum is σ = 73090119962223. Its totient is φ = 8240024111616.

The previous prime is 25408979095777. The next prime is 25408979095859. The reversal of 25408979095824 is 42859097980452.

The square root of 25408979095824 is 5040732.

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

25408979095824 is a `hidden beast` number, since 2 + 540 + 8 + 9 + 7 + 9 + 0 + 9 + 58 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1219107473424 + 24189871622400 = 1104132^2 + 4918320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2238079332 + ... + 2238090684.

Almost surely, 2^{25408979095824} is an apocalyptic number.

25408979095824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25408979095824 is the 5040732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25408979095824

25408979095824 is an abundant number, since it is smaller than the sum of its proper divisors (47681140866399).

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

25408979095824 is an frugal number, since it uses more digits than its factorization.

25408979095824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22794 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 25408979095824 in words is "twenty-five trillion, four hundred eight billion, nine hundred seventy-nine million, ninety-five thousand, eight hundred twenty-four".