30666116199264 has 1536 divisors, whose sum is σ = 111750522863616. Its totient is φ = 7130706739200.

The previous prime is 30666116199227. The next prime is 30666116199283. The reversal of 30666116199264 is 46299161166603.

30666116199264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30666116199198 and 30666116199207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35534317297 + ... + 35534318159.

It is an arithmetic number, because the mean of its divisors is an integer number (72754246656).

Almost surely, 2^{30666116199264} is an apocalyptic number.

30666116199264 is a gapful number since it is divisible by the number (34) 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 30666116199264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55875261431808).

30666116199264 is an abundant number, since it is smaller than the sum of its proper divisors (81084406664352).

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

30666116199264 is a wasteful number, since it uses less digits than its factorization.

30666116199264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 30666116199264 in words is "thirty trillion, six hundred sixty-six billion, one hundred sixteen million, one hundred ninety-nine thousand, two hundred sixty-four".