25687134720 has 600 divisors, whose sum is σ = 99760680756. Its totient is φ = 6314360832.

The previous prime is 25687134703. The next prime is 25687134731. The reversal of 25687134720 is 2743178652.

25687134720 is a `hidden beast` number, since 2 + 568 + 7 + 13 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9225218304 + 16461916416 = 96048^2 + 128304^2 .

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 59 ways as a sum of consecutive naturals, for example, 35043474 + ... + 35044206.

Almost surely, 2^25687134720 is an apocalyptic number.

25687134720 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 25687134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49880340378).

25687134720 is an abundant number, since it is smaller than the sum of its proper divisors (74073546036).

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

25687134720 is an equidigital number, since it uses as much as digits as its factorization.

25687134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 25687134720 in words is "twenty-five billion, six hundred eighty-seven million, one hundred thirty-four thousand, seven hundred twenty".