25089442560 has 972 divisors, whose sum is σ = 109760322672. Its totient is φ = 5273468928.

The previous prime is 25089442523. The next prime is 25089442579. The reversal of 25089442560 is 6524498052.

25089442560 is a `hidden beast` number, since 2 + 5 + 0 + 89 + 4 + 4 + 2 + 560 = 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 107 ways as a sum of consecutive naturals, for example, 95396989 + ... + 95397251.

Almost surely, 2^25089442560 is an apocalyptic number.

25089442560 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 25089442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54880161336).

25089442560 is an abundant number, since it is smaller than the sum of its proper divisors (84670880112).

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

25089442560 is a wasteful number, since it uses less digits than its factorization.

25089442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25089442560 in words is "twenty-five billion, eighty-nine million, four hundred forty-two thousand, five hundred sixty".