25331222160 has 120 divisors (see below), whose sum is σ = 85143534840. Its totient is φ = 6749208576.

The previous prime is 25331222143. The next prime is 25331222179. The reversal of 25331222160 is 6122213352.

It is a happy number.

25331222160 is a `hidden beast` number, since 2 + 533 + 122 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8385431184 + 16945790976 = 91572^2 + 130176^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×25331222160² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861786 + ... + 890694.

It is an arithmetic number, because the mean of its divisors is an integer number (709529457).

Almost surely, 2^25331222160 is an apocalyptic number.

25331222160 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 25331222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42571767420).

25331222160 is an abundant number, since it is smaller than the sum of its proper divisors (59812312680).

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

25331222160 is a wasteful number, since it uses less digits than its factorization.

25331222160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30145 (or 30136 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 25331222160 in words is "twenty-five billion, three hundred thirty-one million, two hundred twenty-two thousand, one hundred sixty".