25638622560 has 288 divisors, whose sum is σ = 92590138368. Its totient is φ = 6447006720.

The previous prime is 25638622547. The next prime is 25638622601. The reversal of 25638622560 is 6522683652.

25638622560 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 86 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2346069 + ... + 2356971.

It is an arithmetic number, because the mean of its divisors is an integer number (321493536).

Almost surely, 2^25638622560 is an apocalyptic number.

25638622560 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 25638622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46295069184).

25638622560 is an abundant number, since it is smaller than the sum of its proper divisors (66951515808).

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

25638622560 is a wasteful number, since it uses less digits than its factorization.

25638622560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 11007 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 25638622560 in words is "twenty-five billion, six hundred thirty-eight million, six hundred twenty-two thousand, five hundred sixty".