30828919680000 has 3520 divisors, whose sum is σ = 134076521779200. Its totient is φ = 6927482880000.

The previous prime is 30828919679951. The next prime is 30828919680029. The reversal of 30828919680000 is 8691982803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 132312959884 + ... + 132312960116.

It is an arithmetic number, because the mean of its divisors is an integer number (38089920960).

Almost surely, 2^{30828919680000} is an apocalyptic number.

30828919680000 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 30828919680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67038260889600).

30828919680000 is an abundant number, since it is smaller than the sum of its proper divisors (103247602099200).

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

30828919680000 is a wasteful number, since it uses less digits than its factorization.

30828919680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 30828919680000 in words is "thirty trillion, eight hundred twenty-eight billion, nine hundred nineteen million, six hundred eighty thousand".