30070872960 has 512 divisors, whose sum is σ = 106092011520. Its totient is φ = 7211581440.

The previous prime is 30070872913. The next prime is 30070872973. The reversal of 30070872960 is 6927807003.

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 63 ways as a sum of consecutive naturals, for example, 114337789 + ... + 114338051.

It is an arithmetic number, because the mean of its divisors is an integer number (207210960).

Almost surely, 2^30070872960 is an apocalyptic number.

30070872960 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 30070872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53046005760).

30070872960 is an abundant number, since it is smaller than the sum of its proper divisors (76021138560).

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

30070872960 is a wasteful number, since it uses less digits than its factorization.

30070872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 30070872960 in words is "thirty billion, seventy million, eight hundred seventy-two thousand, nine hundred sixty".