30480682100000 has 288 divisors, whose sum is σ = 86638291794432. Its totient is φ = 10431884800000.

The previous prime is 30480682099991. The next prime is 30480682100047. The reversal of 30480682100000 is 128608403.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30480682100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17885009 + ... + 19514991.

It is an arithmetic number, because the mean of its divisors is an integer number (300827402064).

Almost surely, 2^{30480682100000} 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 30480682100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43319145897216).

30480682100000 is an abundant number, since it is smaller than the sum of its proper divisors (56157609694432).

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

30480682100000 is a wasteful number, since it uses less digits than its factorization.

30480682100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630046 (or 1630018 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 30480682100000 in words is "thirty trillion, four hundred eighty billion, six hundred eighty-two million, one hundred thousand".