25206563160 has 96 divisors (see below), whose sum is σ = 81993731040. Its totient is φ = 6715809792.

The previous prime is 25206563141. The next prime is 25206563177. The reversal of 25206563160 is 6136560252.

It is a happy number.

25206563160 is a `hidden beast` number, since 2 + 520 + 65 + 63 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384717 + ... + 445443.

It is an arithmetic number, because the mean of its divisors is an integer number (854101365).

Almost surely, 2^25206563160 is an apocalyptic number.

25206563160 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 25206563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40996865520).

25206563160 is an abundant number, since it is smaller than the sum of its proper divisors (56787167880).

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

25206563160 is a wasteful number, since it uses less digits than its factorization.

25206563160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61897 (or 61890 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 25206563160 in words is "twenty-five billion, two hundred six million, five hundred sixty-three thousand, one hundred sixty".