25687445760 has 360 divisors, whose sum is σ = 92798438040. Its totient is φ = 6784155648.

The previous prime is 25687445677. The next prime is 25687445837. The reversal of 25687445760 is 6754478652.

It is a happy number.

25687445760 is a `hidden beast` number, since 2 + 5 + 68 + 7 + 4 + 4 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9336197376 + 16351248384 = 96624^2 + 127872^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25687445697 and 25687445706.

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, 11299984 + ... + 11302256.

It is an arithmetic number, because the mean of its divisors is an integer number (257773439).

Almost surely, 2^25687445760 is an apocalyptic number.

25687445760 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 25687445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46399219020).

25687445760 is an abundant number, since it is smaller than the sum of its proper divisors (67110992280).

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

25687445760 is a wasteful number, since it uses less digits than its factorization.

25687445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 25687445760 in words is "twenty-five billion, six hundred eighty-seven million, four hundred forty-five thousand, seven hundred sixty".