25218332160 has 480 divisors, whose sum is σ = 98746179840. Its totient is φ = 5459263488.

The previous prime is 25218332147. The next prime is 25218332171. The reversal of 25218332160 is 6123381252.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7148317 + ... + 7151843.

It is an arithmetic number, because the mean of its divisors is an integer number (205721208).

Almost surely, 2^25218332160 is an apocalyptic number.

25218332160 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 25218332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49373089920).

25218332160 is an abundant number, since it is smaller than the sum of its proper divisors (73527847680).

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

25218332160 is a wasteful number, since it uses less digits than its factorization.

25218332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 25218332160 in words is "twenty-five billion, two hundred eighteen million, three hundred thirty-two thousand, one hundred sixty".