25567280640 has 600 divisors, whose sum is σ = 100754410680. Its totient is φ = 6192046080.

The previous prime is 25567280579. The next prime is 25567280653. The reversal of 25567280640 is 4608276552.

25567280640 is a `hidden beast` number, since 2 + 5 + 567 + 2 + 80 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 25090051 + ... + 25091069.

Almost surely, 2^25567280640 is an apocalyptic number.

25567280640 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 25567280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50377205340).

25567280640 is an abundant number, since it is smaller than the sum of its proper divisors (75187130040).

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

25567280640 is a wasteful number, since it uses less digits than its factorization.

25567280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25567280640 in words is "twenty-five billion, five hundred sixty-seven million, two hundred eighty thousand, six hundred forty".