25069772160 has 320 divisors, whose sum is σ = 94798408320. Its totient is φ = 6291800064.

The previous prime is 25069772149. The next prime is 25069772179. The reversal of 25069772160 is 6127796052.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×25069772160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 867057 + ... + 895503.

It is an arithmetic number, because the mean of its divisors is an integer number (296245026).

Almost surely, 2^25069772160 is an apocalyptic number.

25069772160 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 25069772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399204160).

25069772160 is an abundant number, since it is smaller than the sum of its proper divisors (69728636160).

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

25069772160 is a wasteful number, since it uses less digits than its factorization.

25069772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28495 (or 28474 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 25069772160 in words is "twenty-five billion, sixty-nine million, seven hundred seventy-two thousand, one hundred sixty".