30989952000 has 1320 divisors, whose sum is σ = 136550833848. Its totient is φ = 6967296000.

The previous prime is 30989951959. The next prime is 30989952011. The reversal of 30989952000 is 25998903.

30989952000 is a `hidden beast` number, since 30 + 9 + 8 + 99 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7514809344 + 23475142656 = 86688^2 + 153216^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508031970 + ... + 508032030.

Almost surely, 2^30989952000 is an apocalyptic number.

30989952000 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 30989952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275416924).

30989952000 is an abundant number, since it is smaller than the sum of its proper divisors (105560881848).

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

30989952000 is an equidigital number, since it uses as much as digits as its factorization.

30989952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 30989952000 in words is "thirty billion, nine hundred eighty-nine million, nine hundred fifty-two thousand".