25079156496 has 225 divisors, whose sum is σ = 74883834949. Its totient is φ = 8103169152.

The previous prime is 25079156477. The next prime is 25079156513. The reversal of 25079156496 is 69465197052.

The square root of 25079156496 is 158364.

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

25079156496 is a `hidden beast` number, since 2 + 5 + 0 + 79 + 1 + 564 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18079491600 + 6999664896 = 134460^2 + 83664^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 302158471 + ... + 302158553.

Almost surely, 2^25079156496 is an apocalyptic number.

25079156496 is the 158364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25079156496

25079156496 is an abundant number, since it is smaller than the sum of its proper divisors (49804678453).

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

25079156496 is an frugal number, since it uses more digits than its factorization.

25079156496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 25079156496 in words is "twenty-five billion, seventy-nine million, one hundred fifty-six thousand, four hundred ninety-six".