25913520000 has 960 divisors, whose sum is σ = 102069327360. Its totient is φ = 6531840000.

The previous prime is 25913519971. The next prime is 25913520023. The reversal of 25913520000 is 2531952.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 602639979 + ... + 602640021.

It is an arithmetic number, because the mean of its divisors is an integer number (106322216).

Almost surely, 2^25913520000 is an apocalyptic number.

25913520000 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 25913520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51034663680).

25913520000 is an abundant number, since it is smaller than the sum of its proper divisors (76155807360).

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

25913520000 is an frugal number, since it uses more digits than its factorization.

25913520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 25913520000 in words is "twenty-five billion, nine hundred thirteen million, five hundred twenty thousand".