25413346560 has 576 divisors, whose sum is σ = 95751032832. Its totient is φ = 5625151488.

The previous prime is 25413346559. The next prime is 25413346571. The reversal of 25413346560 is 6564331452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185498812 + ... + 185498948.

It is an arithmetic number, because the mean of its divisors is an integer number (166234432).

Almost surely, 2^25413346560 is an apocalyptic number.

25413346560 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 25413346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47875516416).

25413346560 is an abundant number, since it is smaller than the sum of its proper divisors (70337686272).

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

25413346560 is a wasteful number, since it uses less digits than its factorization.

25413346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 25413346560 in words is "twenty-five billion, four hundred thirteen million, three hundred forty-six thousand, five hundred sixty".