30529017120 has 192 divisors, whose sum is σ = 110075003136. Its totient is φ = 6967234560.

The previous prime is 30529017097. The next prime is 30529017131. The reversal of 30529017120 is 2171092503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268010 + ... + 2281430.

It is an arithmetic number, because the mean of its divisors is an integer number (573307308).

Almost surely, 2^30529017120 is an apocalyptic number.

30529017120 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 30529017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55037501568).

30529017120 is an abundant number, since it is smaller than the sum of its proper divisors (79545986016).

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

30529017120 is a wasteful number, since it uses less digits than its factorization.

30529017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14123 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 30529017120 in words is "thirty billion, five hundred twenty-nine million, seventeen thousand, one hundred twenty".