25670856960 has 1080 divisors, whose sum is σ = 110975268096. Its totient is φ = 5643509760.

The previous prime is 25670856931. The next prime is 25670856977. The reversal of 25670856960 is 6965807652.

It is a happy number.

25670856960 is a `hidden beast` number, since 2 + 5 + 6 + 70 + 8 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 25670856897 and 25670856906.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 157489839 + ... + 157490001.

Almost surely, 2^25670856960 is an apocalyptic number.

25670856960 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 25670856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55487634048).

25670856960 is an abundant number, since it is smaller than the sum of its proper divisors (85304411136).

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

25670856960 is a wasteful number, since it uses less digits than its factorization.

25670856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 25670856960 in words is "twenty-five billion, six hundred seventy million, eight hundred fifty-six thousand, nine hundred sixty".