25483368960 has 640 divisors, whose sum is σ = 106850304000. Its totient is φ = 5633556480.

The previous prime is 25483368959. The next prime is 25483368979. The reversal of 25483368960 is 6986338452.

25483368960 is a `hidden beast` number, since 2 + 548 + 3 + 3 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25483368897 and 25483368906.

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, 14998191 + ... + 14999889.

It is an arithmetic number, because the mean of its divisors is an integer number (166953600).

Almost surely, 2^25483368960 is an apocalyptic number.

25483368960 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 25483368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53425152000).

25483368960 is an abundant number, since it is smaller than the sum of its proper divisors (81366935040).

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

25483368960 is a wasteful number, since it uses less digits than its factorization.

25483368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 25483368960 in words is "twenty-five billion, four hundred eighty-three million, three hundred sixty-eight thousand, nine hundred sixty".