30955696128 has 364 divisors, whose sum is σ = 106143958128. Its totient is φ = 8838512640.

The previous prime is 30955696091. The next prime is 30955696181. The reversal of 30955696128 is 82169655903.

It is a happy number.

30955696128 is a `hidden beast` number, since 3 + 0 + 9 + 556 + 9 + 61 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 27 ways as a sum of consecutive naturals, for example, 20901148 + ... + 20902628.

Almost surely, 2^30955696128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30955696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071979064).

30955696128 is an abundant number, since it is smaller than the sum of its proper divisors (75188262000).

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

30955696128 is an frugal number, since it uses more digits than its factorization.

30955696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 30955696128 in words is "thirty billion, nine hundred fifty-five million, six hundred ninety-six thousand, one hundred twenty-eight".