25363650160 has 80 divisors (see below), whose sum is σ = 59464944000. Its totient is φ = 10060627968.

The previous prime is 25363650119. The next prime is 25363650163. The reversal of 25363650160 is 6105636352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25363650163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9165097 + ... + 9167863.

It is an arithmetic number, because the mean of its divisors is an integer number (743311800).

Almost surely, 2^25363650160 is an apocalyptic number.

25363650160 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 25363650160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29732472000).

25363650160 is an abundant number, since it is smaller than the sum of its proper divisors (34101293840).

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

25363650160 is a wasteful number, since it uses less digits than its factorization.

25363650160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 25363650160 in words is "twenty-five billion, three hundred sixty-three million, six hundred fifty thousand, one hundred sixty".