30986112960 has 336 divisors, whose sum is σ = 116741813760. Its totient is φ = 7481210880.

The previous prime is 30986112929. The next prime is 30986112967. The reversal of 30986112960 is 6921168903.

It is a happy number.

30986112960 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 611 + 29 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30986112967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8329981 + ... + 8333699.

Almost surely, 2^30986112960 is an apocalyptic number.

30986112960 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 30986112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58370906880).

30986112960 is an abundant number, since it is smaller than the sum of its proper divisors (85755700800).

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

30986112960 is a wasteful number, since it uses less digits than its factorization.

30986112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 30986112960 in words is "thirty billion, nine hundred eighty-six million, one hundred twelve thousand, nine hundred sixty".