25355653560 has 640 divisors, whose sum is σ = 92835072000. Its totient is φ = 6191437824.

The previous prime is 25355653559. The next prime is 25355653601. The reversal of 25355653560 is 6535655352.

It is a happy number.

25355653560 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 56 + 535 + 60 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 320957601 + ... + 320957679.

It is an arithmetic number, because the mean of its divisors is an integer number (145054800).

Almost surely, 2^25355653560 is an apocalyptic number.

25355653560 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 25355653560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46417536000).

25355653560 is an abundant number, since it is smaller than the sum of its proper divisors (67479418440).

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

25355653560 is a wasteful number, since it uses less digits than its factorization.

25355653560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 25355653560 in words is "twenty-five billion, three hundred fifty-five million, six hundred fifty-three thousand, five hundred sixty".