25818428160 has 1152 divisors, whose sum is σ = 113731430400. Its totient is φ = 5414584320.

The previous prime is 25818428099. The next prime is 25818428161. The reversal of 25818428160 is 6182481852.

25818428160 is a `hidden beast` number, since 2 + 58 + 18 + 428 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25818428161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188455612 + ... + 188455748.

It is an arithmetic number, because the mean of its divisors is an integer number (98725200).

Almost surely, 2^25818428160 is an apocalyptic number.

25818428160 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 25818428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56865715200).

25818428160 is an abundant number, since it is smaller than the sum of its proper divisors (87913002240).

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

25818428160 is a wasteful number, since it uses less digits than its factorization.

25818428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 25818428160 in words is "twenty-five billion, eight hundred eighteen million, four hundred twenty-eight thousand, one hundred sixty".