30794132160 has 504 divisors, whose sum is σ = 117752701248. Its totient is φ = 7380172800.

The previous prime is 30794132123. The next prime is 30794132189. The reversal of 30794132160 is 6123149703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33802105 + ... + 33803015.

It is an arithmetic number, because the mean of its divisors is an integer number (233636312).

Almost surely, 2^30794132160 is an apocalyptic number.

30794132160 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 30794132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876350624).

30794132160 is an abundant number, since it is smaller than the sum of its proper divisors (86958569088).

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

30794132160 is a wasteful number, since it uses less digits than its factorization.

30794132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 30794132160 in words is "thirty billion, seven hundred ninety-four million, one hundred thirty-two thousand, one hundred sixty".