25541904960 has 672 divisors, whose sum is σ = 107081799552. Its totient is φ = 5713182720.

The previous prime is 25541904917. The next prime is 25541905019. The reversal of 25541904960 is 6940914552.

25541904960 is a `hidden beast` number, since 2 + 5 + 541 + 9 + 0 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11118532 + ... + 11120828.

It is an arithmetic number, because the mean of its divisors is an integer number (159347916).

Almost surely, 2^25541904960 is an apocalyptic number.

25541904960 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 25541904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53540899776).

25541904960 is an abundant number, since it is smaller than the sum of its proper divisors (81539894592).

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

25541904960 is a wasteful number, since it uses less digits than its factorization.

25541904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25541904960 in words is "twenty-five billion, five hundred forty-one million, nine hundred four thousand, nine hundred sixty".