25711687680 has 1152 divisors, whose sum is σ = 107557632000. Its totient is φ = 5202247680.

The previous prime is 25711687669. The next prime is 25711687693. The reversal of 25711687680 is 8678611752.

It is a happy number.

It is a super-2 number, since 2×25711687680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829409265 + ... + 829409295.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 2^25711687680 is an apocalyptic number.

25711687680 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 25711687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816000).

25711687680 is an abundant number, since it is smaller than the sum of its proper divisors (81845944320).

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

25711687680 is a wasteful number, since it uses less digits than its factorization.

25711687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 25711687680 in words is "twenty-five billion, seven hundred eleven million, six hundred eighty-seven thousand, six hundred eighty".