30949809027360 has 384 divisors, whose sum is σ = 99167920717824. Its totient is φ = 8112946544640.

The previous prime is 30949809027359. The next prime is 30949809027407. The reversal of 30949809027360 is 6372090894903.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 30949809027294 and 30949809027303.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2992338349 + ... + 2992348691.

It is an arithmetic number, because the mean of its divisors is an integer number (258249793536).

Almost surely, 2^{30949809027360} is an apocalyptic number.

30949809027360 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 30949809027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49583960358912).

30949809027360 is an abundant number, since it is smaller than the sum of its proper divisors (68218111690464).

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

30949809027360 is a wasteful number, since it uses less digits than its factorization.

30949809027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 30949809027360 in words is "thirty trillion, nine hundred forty-nine billion, eight hundred nine million, twenty-seven thousand, three hundred sixty".