25813831680 has 1456 divisors, whose sum is σ = 120325134720. Its totient is φ = 5159780352.

The previous prime is 25813831663. The next prime is 25813831697. The reversal of 25813831680 is 8613831852.

25813831680 is a `hidden beast` number, since 2 + 581 + 3 + 8 + 3 + 1 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25813831663) and next prime (25813831697).

It is a tau number, because it is divible by the number of its divisors (1456).

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 111 ways as a sum of consecutive naturals, for example, 1358622711 + ... + 1358622729.

Almost surely, 2^25813831680 is an apocalyptic number.

25813831680 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 25813831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60162567360).

25813831680 is an abundant number, since it is smaller than the sum of its proper divisors (94511303040).

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

25813831680 is an equidigital number, since it uses as much as digits as its factorization.

25813831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

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

The spelling of 25813831680 in words is "twenty-five billion, eight hundred thirteen million, eight hundred thirty-one thousand, six hundred eighty".