25644548160 has 672 divisors, whose sum is σ = 114071473152. Its totient is φ = 5327493120.

The previous prime is 25644548123. The next prime is 25644548177. The reversal of 25644548160 is 6184544652.

It is a happy number.

25644548160 is a `hidden beast` number, since 2 + 5 + 6 + 44 + 548 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5985379 + ... + 5989661.

It is an arithmetic number, because the mean of its divisors is an integer number (169749216).

Almost surely, 2^25644548160 is an apocalyptic number.

25644548160 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 25644548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57035736576).

25644548160 is an abundant number, since it is smaller than the sum of its proper divisors (88426924992).

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

25644548160 is a wasteful number, since it uses less digits than its factorization.

25644548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 25644548160 in words is "twenty-five billion, six hundred forty-four million, five hundred forty-eight thousand, one hundred sixty".