25327665792 has 480 divisors, whose sum is σ = 89280423540. Its totient is φ = 7080099840.

The previous prime is 25327665773. The next prime is 25327665887. The reversal of 25327665792 is 29756672352.

25327665792 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 7 + 66 + 579 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21006444096 + 4321221696 = 144936^2 + 65736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16308088 + ... + 16309640.

Almost surely, 2^25327665792 is an apocalyptic number.

25327665792 is a gapful number since it is divisible by the number (22) 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 25327665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640211770).

25327665792 is an abundant number, since it is smaller than the sum of its proper divisors (63952757748).

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

25327665792 is a wasteful number, since it uses less digits than its factorization.

25327665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1582 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 25327665792 in words is "twenty-five billion, three hundred twenty-seven million, six hundred sixty-five thousand, seven hundred ninety-two".