25618152960 has 320 divisors, whose sum is σ = 95792083200. Its totient is φ = 6471622656.

The previous prime is 25618152919. The next prime is 25618152983. The reversal of 25618152960 is 6925181652.

25618152960 is a `hidden beast` number, since 2 + 5 + 61 + 8 + 1 + 529 + 60 = 666.

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

It is a super-2 number, since 2×25618152960² (a number of 22 digits) contains 22 as substring.

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, 1303527 + ... + 1323033.

It is an arithmetic number, because the mean of its divisors is an integer number (299350260).

Almost surely, 2^25618152960 is an apocalyptic number.

25618152960 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 25618152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47896041600).

25618152960 is an abundant number, since it is smaller than the sum of its proper divisors (70173930240).

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

25618152960 is a wasteful number, since it uses less digits than its factorization.

25618152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19558 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 25618152960 in words is "twenty-five billion, six hundred eighteen million, one hundred fifty-two thousand, nine hundred sixty".