25504833968640 has 1920 divisors, whose sum is σ = 104737936343040. Its totient is φ = 5896338997248.

The previous prime is 25504833968633. The next prime is 25504833968651. The reversal of 25504833968640 is 4686933840552.

25504833968640 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 483 + 3 + 96 + 8 + 64 + 0 = 666.

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

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, 19514026867 + ... + 19514028173.

It is an arithmetic number, because the mean of its divisors is an integer number (54551008512).

Almost surely, 2^{25504833968640} is an apocalyptic number.

25504833968640 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 25504833968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52368968171520).

25504833968640 is an abundant number, since it is smaller than the sum of its proper divisors (79233102374400).

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

25504833968640 is a wasteful number, since it uses less digits than its factorization.

25504833968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 25504833968640 in words is "twenty-five trillion, five hundred four billion, eight hundred thirty-three million, nine hundred sixty-eight thousand, six hundred forty".