25461941760 has 800 divisors, whose sum is σ = 100103807232. Its totient is φ = 6157762560.

The previous prime is 25461941699. The next prime is 25461941773. The reversal of 25461941760 is 6714916452.

25461941760 is a `hidden beast` number, since 2 + 546 + 1 + 9 + 41 + 7 + 60 = 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 79 ways as a sum of consecutive naturals, for example, 109278604 + ... + 109278836.

Almost surely, 2^25461941760 is an apocalyptic number.

25461941760 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 25461941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50051903616).

25461941760 is an abundant number, since it is smaller than the sum of its proper divisors (74641865472).

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

25461941760 is a wasteful number, since it uses less digits than its factorization.

25461941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25461941760 in words is "twenty-five billion, four hundred sixty-one million, nine hundred forty-one thousand, seven hundred sixty".