30999548850160 has 320 divisors, whose sum is σ = 82984974336000. Its totient is φ = 10650848302080.

The previous prime is 30999548850133. The next prime is 30999548850199. The reversal of 30999548850160 is 6105884599903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15664248051 + ... + 15664250029.

It is an arithmetic number, because the mean of its divisors is an integer number (259328044800).

Almost surely, 2^{30999548850160} 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 30999548850160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492487168000).

30999548850160 is an abundant number, since it is smaller than the sum of its proper divisors (51985425485840).

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

30999548850160 is a wasteful number, since it uses less digits than its factorization.

30999548850160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 67.

The spelling of 30999548850160 in words is "thirty trillion, nine hundred ninety-nine billion, five hundred forty-eight million, eight hundred fifty thousand, one hundred sixty".