30997655829504 has 1584 divisors, whose sum is σ = 115883487982080. Its totient is φ = 7769556910080.

The previous prime is 30997655829467. The next prime is 30997655829509. The reversal of 30997655829504 is 40592855679903.

It is a happy number.

30997655829504 is a `hidden beast` number, since 3 + 0 + 9 + 9 + 7 + 65 + 58 + 2 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30997655829509) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 50076988107 + ... + 50076988725.

Almost surely, 2^{30997655829504} 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 30997655829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57941743991040).

30997655829504 is an abundant number, since it is smaller than the sum of its proper divisors (84885832152576).

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

30997655829504 is a wasteful number, since it uses less digits than its factorization.

30997655829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 30997655829504 in words is "thirty trillion, nine hundred ninety-seven billion, six hundred fifty-five million, eight hundred twenty-nine thousand, five hundred four".