25687440000 has 240 divisors, whose sum is σ = 92370877170. Its totient is φ = 6849792000.

The previous prime is 25687439971. The next prime is 25687440041. The reversal of 25687440000 is 4478652.

It can be written as a sum of positive squares in 5 ways, for example, as 1133803584 + 24553636416 = 33672^2 + 156696^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 702162 + ... + 737838.

Almost surely, 2^25687440000 is an apocalyptic number.

25687440000 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 25687440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46185438585).

25687440000 is an abundant number, since it is smaller than the sum of its proper divisors (66683437170).

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

25687440000 is an equidigital number, since it uses as much as digits as its factorization.

25687440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35717 (or 35687 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 25687440000 in words is "twenty-five billion, six hundred eighty-seven million, four hundred forty thousand".