30959701164 has 432 divisors, whose sum is σ = 103105941120. Its totient is φ = 7759825920.

The previous prime is 30959701163. The next prime is 30959701211. The reversal of 30959701164 is 46110795903.

It is not an unprimeable number, because it can be changed into a prime (30959701163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38174319 + ... + 38175129.

It is an arithmetic number, because the mean of its divisors is an integer number (238671160).

Almost surely, 2^30959701164 is an apocalyptic number.

30959701164 is a gapful number since it is divisible by the number (34) 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 30959701164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51552970560).

30959701164 is an abundant number, since it is smaller than the sum of its proper divisors (72146239956).

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

30959701164 is a wasteful number, since it uses less digits than its factorization.

30959701164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 30959701164 in words is "thirty billion, nine hundred fifty-nine million, seven hundred one thousand, one hundred sixty-four".