25719367680 has 144 divisors (see below), whose sum is σ = 89139026340. Its totient is φ = 6858473472.

The previous prime is 25719367649. The next prime is 25719367693. The reversal of 25719367680 is 8676391752.

25719367680 is a `hidden beast` number, since 2 + 571 + 9 + 3 + 6 + 7 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23622460416 + 2096907264 = 153696^2 + 45792^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25719367680² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47377 + ... + 231696.

Almost surely, 2^25719367680 is an apocalyptic number.

25719367680 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 25719367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44569513170).

25719367680 is an abundant number, since it is smaller than the sum of its proper divisors (63419658660).

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

25719367680 is a wasteful number, since it uses less digits than its factorization.

25719367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279106 (or 279083 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 25719367680 in words is "twenty-five billion, seven hundred nineteen million, three hundred sixty-seven thousand, six hundred eighty".