30982052160 has 168 divisors, whose sum is σ = 106722687240. Its totient is φ = 8249683968.

The previous prime is 30982052159. The next prime is 30982052161. The reversal of 30982052160 is 6125028903.

It is an interprime number because it is at equal distance from previous prime (30982052159) and next prime (30982052161).

It can be written as a sum of positive squares in 4 ways, for example, as 4057180416 + 26924871744 = 63696^2 + 164088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30982052161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034334 + ... + 2049506.

Almost surely, 2^30982052160 is an apocalyptic number.

30982052160 is a gapful number since it is divisible by the number (30) 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 30982052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361343620).

30982052160 is an abundant number, since it is smaller than the sum of its proper divisors (75740635080).

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

30982052160 is a wasteful number, since it uses less digits than its factorization.

30982052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30982052160 in words is "thirty billion, nine hundred eighty-two million, fifty-two thousand, one hundred sixty".