30517329920 has 512 divisors, whose sum is σ = 95125363200. Its totient is φ = 9122611200.

The previous prime is 30517329911. The next prime is 30517329943. The reversal of 30517329920 is 2992371503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×30517329920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 517242851 + ... + 517242909.

It is an arithmetic number, because the mean of its divisors is an integer number (185791725).

Almost surely, 2^30517329920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30517329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47562681600).

30517329920 is an abundant number, since it is smaller than the sum of its proper divisors (64608033280).

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

30517329920 is an equidigital number, since it uses as much as digits as its factorization.

30517329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The spelling of 30517329920 in words is "thirty billion, five hundred seventeen million, three hundred twenty-nine thousand, nine hundred twenty".