25091458560 has 320 divisors, whose sum is σ = 101861337600. Its totient is φ = 5735079936.

The previous prime is 25091458547. The next prime is 25091458631. The reversal of 25091458560 is 6585419052.

25091458560 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 1 + 4 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 457911 + ... + 509769.

It is an arithmetic number, because the mean of its divisors is an integer number (318316680).

Almost surely, 2^25091458560 is an apocalyptic number.

25091458560 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 25091458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50930668800).

25091458560 is an abundant number, since it is smaller than the sum of its proper divisors (76769879040).

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

25091458560 is an equidigital number, since it uses as much as digits as its factorization.

25091458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51898 (or 51876 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 25091458560 in words is "twenty-five billion, ninety-one million, four hundred fifty-eight thousand, five hundred sixty".