25162556160 has 288 divisors, whose sum is σ = 94809157632. Its totient is φ = 5565726720.

The previous prime is 25162556147. The next prime is 25162556173. The reversal of 25162556160 is 6165526152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25162556147) and next prime (25162556173).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818182 + ... + 848378.

It is an arithmetic number, because the mean of its divisors is an integer number (329198464).

Almost surely, 2^25162556160 is an apocalyptic number.

25162556160 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 25162556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47404578816).

25162556160 is an abundant number, since it is smaller than the sum of its proper divisors (69646601472).

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

25162556160 is a wasteful number, since it uses less digits than its factorization.

25162556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30259 (or 30245 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 25162556160 in words is "twenty-five billion, one hundred sixty-two million, five hundred fifty-six thousand, one hundred sixty".