25613009425920 has 1920 divisors, whose sum is σ = 103179681792000. Its totient is φ = 5386890313728.

The previous prime is 25613009425919. The next prime is 25613009425937. The reversal of 25613009425920 is 2952490031652.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25613009425920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66874698049 + ... + 66874698431.

It is an arithmetic number, because the mean of its divisors is an integer number (53739417600).

Almost surely, 2^{25613009425920} is an apocalyptic number.

25613009425920 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 25613009425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589840896000).

25613009425920 is an abundant number, since it is smaller than the sum of its proper divisors (77566672366080).

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

25613009425920 is a wasteful number, since it uses less digits than its factorization.

25613009425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 25613009425920 in words is "twenty-five trillion, six hundred thirteen billion, nine million, four hundred twenty-five thousand, nine hundred twenty".