25461075960 has 192 divisors, whose sum is σ = 83617466400. Its totient is φ = 6718712832.

The previous prime is 25461075931. The next prime is 25461076009. The reversal of 25461075960 is 6957016452.

25461075960 is a `hidden beast` number, since 2 + 5 + 46 + 10 + 7 + 596 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 15784114 + ... + 15785726.

Almost surely, 2^25461075960 is an apocalyptic number.

25461075960 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 25461075960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41808733200).

25461075960 is an abundant number, since it is smaller than the sum of its proper divisors (58156390440).

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

25461075960 is a wasteful number, since it uses less digits than its factorization.

25461075960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25461075960 in words is "twenty-five billion, four hundred sixty-one million, seventy-five thousand, nine hundred sixty".