25160314345152 has 224 divisors, whose sum is σ = 78618128117760. Its totient is φ = 6949333647360.

The previous prime is 25160314345141. The next prime is 25160314345237. The reversal of 25160314345152 is 25154341306152.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 38716924 + ... + 39361412.

It is an arithmetic number, because the mean of its divisors is an integer number (350973786240).

Almost surely, 2^{25160314345152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25160314345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309064058880).

25160314345152 is an abundant number, since it is smaller than the sum of its proper divisors (53457813772608).

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

25160314345152 is a wasteful number, since it uses less digits than its factorization.

25160314345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645479 (or 645469 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 25160314345152 in words is "twenty-five trillion, one hundred sixty billion, three hundred fourteen million, three hundred forty-five thousand, one hundred fifty-two".