25618844160 has 640 divisors, whose sum is σ = 112027829760. Its totient is φ = 5403967488.

The previous prime is 25618844089. The next prime is 25618844179. The reversal of 25618844160 is 6144881652.

It is a happy number.

25618844160 is a `hidden beast` number, since 2 + 56 + 188 + 4 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×25618844160⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 6287884 + ... + 6291956.

It is an arithmetic number, because the mean of its divisors is an integer number (175043484).

Almost surely, 2^25618844160 is an apocalyptic number.

25618844160 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 25618844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56013914880).

25618844160 is an abundant number, since it is smaller than the sum of its proper divisors (86408985600).

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

25618844160 is a wasteful number, since it uses less digits than its factorization.

25618844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25618844160 in words is "twenty-five billion, six hundred eighteen million, eight hundred forty-four thousand, one hundred sixty".