25056944640 has 1920 divisors, whose sum is σ = 122257175040. Its totient is φ = 4586471424.

The previous prime is 25056944611. The next prime is 25056944651. The reversal of 25056944640 is 4644965052.

25056944640 is a `hidden beast` number, since 2 + 5 + 0 + 569 + 4 + 46 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 677214702 + ... + 677214738.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 2^25056944640 is an apocalyptic number.

25056944640 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 25056944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61128587520).

25056944640 is an abundant number, since it is smaller than the sum of its proper divisors (97200230400).

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

25056944640 is a wasteful number, since it uses less digits than its factorization.

25056944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 25056944640 in words is "twenty-five billion, fifty-six million, nine hundred forty-four thousand, six hundred forty".