30973058088960 has 1408 divisors, whose sum is σ = 115674179120640. Its totient is φ = 7015829078016.

The previous prime is 30973058088953. The next prime is 30973058088989. The reversal of 30973058088960 is 6988085037903.

It is a junction number, because it is equal to n+sod(n) for n = 30973058088891 and 30973058088900.

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 63 ways as a sum of consecutive naturals, for example, 348011888596 + ... + 348011888684.

Almost surely, 2^{30973058088960} is an apocalyptic number.

30973058088960 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 30973058088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57837089560320).

30973058088960 is an abundant number, since it is smaller than the sum of its proper divisors (84701121031680).

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

30973058088960 is an frugal number, since it uses more digits than its factorization.

30973058088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 30973058088960 in words is "thirty trillion, nine hundred seventy-three billion, fifty-eight million, eighty-eight thousand, nine hundred sixty".