25680291840 has 480 divisors, whose sum is σ = 105219354240. Its totient is φ = 5868453888.

The previous prime is 25680291811. The next prime is 25680291887. The reversal of 25680291840 is 4819208652.

25680291840 is a `hidden beast` number, since 2 + 568 + 0 + 2 + 9 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 5803869 + ... + 5808291.

It is an arithmetic number, because the mean of its divisors is an integer number (219206988).

Almost surely, 2^25680291840 is an apocalyptic number.

25680291840 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 25680291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52609677120).

25680291840 is an abundant number, since it is smaller than the sum of its proper divisors (79539062400).

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

25680291840 is an equidigital number, since it uses as much as digits as its factorization.

25680291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25680291840 in words is "twenty-five billion, six hundred eighty million, two hundred ninety-one thousand, eight hundred forty".