25270460160 has 288 divisors, whose sum is σ = 90098604288. Its totient is φ = 5983272960.

The previous prime is 25270460153. The next prime is 25270460213. The reversal of 25270460160 is 6106407252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1809364 + ... + 1823276.

It is an arithmetic number, because the mean of its divisors is an integer number (312842376).

Almost surely, 2^25270460160 is an apocalyptic number.

25270460160 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 25270460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45049302144).

25270460160 is an abundant number, since it is smaller than the sum of its proper divisors (64828144128).

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

25270460160 is a wasteful number, since it uses less digits than its factorization.

25270460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 25270460160 in words is "twenty-five billion, two hundred seventy million, four hundred sixty thousand, one hundred sixty".