30351130948320 has 768 divisors, whose sum is σ = 120681579110400. Its totient is φ = 6371160219648.

The previous prime is 30351130948309. The next prime is 30351130948361. The reversal of 30351130948320 is 2384903115303.

30351130948320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30351130948320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421607049 + ... + 421679031.

It is an arithmetic number, because the mean of its divisors is an integer number (157137472800).

Almost surely, 2^{30351130948320} is an apocalyptic number.

30351130948320 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 30351130948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60340789555200).

30351130948320 is an abundant number, since it is smaller than the sum of its proper divisors (90330448162080).

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

30351130948320 is a wasteful number, since it uses less digits than its factorization.

30351130948320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72232 (or 72210 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 30351130948320 in words is "thirty trillion, three hundred fifty-one billion, one hundred thirty million, nine hundred forty-eight thousand, three hundred twenty".