30993682035328 has 512 divisors, whose sum is σ = 72414237081600. Its totient is φ = 13114680606720.

The previous prime is 30993682035307. The next prime is 30993682035377. The reversal of 30993682035328 is 82353028639903.

It is a super-2 number, since 2×30993682035328² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 23786401525 + ... + 23786402827.

It is an arithmetic number, because the mean of its divisors is an integer number (141434056800).

Almost surely, 2^{30993682035328} is an apocalyptic number.

30993682035328 is a gapful number since it is divisible by the number (38) 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 30993682035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36207118540800).

30993682035328 is an abundant number, since it is smaller than the sum of its proper divisors (41420555046272).

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

30993682035328 is a wasteful number, since it uses less digits than its factorization.

30993682035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 61.

The spelling of 30993682035328 in words is "thirty trillion, nine hundred ninety-three billion, six hundred eighty-two million, thirty-five thousand, three hundred twenty-eight".