25894028160 has 1280 divisors, whose sum is σ = 124407360000. Its totient is φ = 4956733440.

The previous prime is 25894028137. The next prime is 25894028177. The reversal of 25894028160 is 6182049852.

25894028160 is a `hidden beast` number, since 2 + 5 + 89 + 402 + 8 + 160 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51891591 + ... + 51892089.

It is an arithmetic number, because the mean of its divisors is an integer number (97193250).

Almost surely, 2^25894028160 is an apocalyptic number.

25894028160 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 25894028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680000).

25894028160 is an abundant number, since it is smaller than the sum of its proper divisors (98513331840).

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

25894028160 is a wasteful number, since it uses less digits than its factorization.

25894028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25894028160 in words is "twenty-five billion, eight hundred ninety-four million, twenty-eight thousand, one hundred sixty".