25671596160 has 512 divisors, whose sum is σ = 99095040000. Its totient is φ = 5522079744.

The previous prime is 25671596149. The next prime is 25671596191. The reversal of 25671596160 is 6169517652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58477221 + ... + 58477659.

It is an arithmetic number, because the mean of its divisors is an integer number (193545000).

Almost surely, 2^25671596160 is an apocalyptic number.

25671596160 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 25671596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49547520000).

25671596160 is an abundant number, since it is smaller than the sum of its proper divisors (73423443840).

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

25671596160 is a wasteful number, since it uses less digits than its factorization.

25671596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 25671596160 in words is "twenty-five billion, six hundred seventy-one million, five hundred ninety-six thousand, one hundred sixty".