25086378240 has 864 divisors, whose sum is σ = 111959527680. Its totient is φ = 5206671360.

The previous prime is 25086378227. The next prime is 25086378259. The reversal of 25086378240 is 4287368052.

25086378240 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 637 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 29271892 + ... + 29272748.

Almost surely, 2^25086378240 is an apocalyptic number.

25086378240 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 25086378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55979763840).

25086378240 is an abundant number, since it is smaller than the sum of its proper divisors (86873149440).

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

25086378240 is a wasteful number, since it uses less digits than its factorization.

25086378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25086378240 in words is "twenty-five billion, eighty-six million, three hundred seventy-eight thousand, two hundred forty".