30135829920 has 192 divisors, whose sum is σ = 108969670656. Its totient is φ = 6857671680.

The previous prime is 30135829903. The next prime is 30135829931. The reversal of 30135829920 is 2992853103.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 742965 + ... + 782475.

It is an arithmetic number, because the mean of its divisors is an integer number (567550368).

Almost surely, 2^30135829920 is an apocalyptic number.

30135829920 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 30135829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54484835328).

30135829920 is an abundant number, since it is smaller than the sum of its proper divisors (78833840736).

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

30135829920 is a wasteful number, since it uses less digits than its factorization.

30135829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39763 (or 39755 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 30135829920 in words is "thirty billion, one hundred thirty-five million, eight hundred twenty-nine thousand, nine hundred twenty".