30916945920 has 1152 divisors, whose sum is σ = 129069158400. Its totient is φ = 6267469824.

The previous prime is 30916945861. The next prime is 30916945937. The reversal of 30916945920 is 2954961903.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30916945920.

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 95 ways as a sum of consecutive naturals, for example, 657807337 + ... + 657807383.

It is an arithmetic number, because the mean of its divisors is an integer number (112039200).

Almost surely, 2^30916945920 is an apocalyptic number.

30916945920 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 30916945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64534579200).

30916945920 is an abundant number, since it is smaller than the sum of its proper divisors (98152212480).

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

30916945920 is a wasteful number, since it uses less digits than its factorization.

30916945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 30916945920 in words is "thirty billion, nine hundred sixteen million, nine hundred forty-five thousand, nine hundred twenty".