25642229760 has 672 divisors, whose sum is σ = 107136956160. Its totient is φ = 5541986304.

The previous prime is 25642229737. The next prime is 25642229771. The reversal of 25642229760 is 6792224652.

25642229760 is a `hidden beast` number, since 2 + 564 + 2 + 2 + 29 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49028859 + ... + 49029381.

Almost surely, 2^25642229760 is an apocalyptic number.

25642229760 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 25642229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568478080).

25642229760 is an abundant number, since it is smaller than the sum of its proper divisors (81494726400).

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

25642229760 is a wasteful number, since it uses less digits than its factorization.

25642229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25642229760 in words is "twenty-five billion, six hundred forty-two million, two hundred twenty-nine thousand, seven hundred sixty".