30133885680 has 220 divisors, whose sum is σ = 105107807640. Its totient is φ = 8034443136.

The previous prime is 30133885669. The next prime is 30133885681. The reversal of 30133885680 is 8658833103.

30133885680 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 3 + 88 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133885681) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 4720731 + ... + 4727109.

It is an arithmetic number, because the mean of its divisors is an integer number (477762762).

Almost surely, 2^30133885680 is an apocalyptic number.

30133885680 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 30133885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553903820).

30133885680 is an abundant number, since it is smaller than the sum of its proper divisors (74973921960).

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

30133885680 is an frugal number, since it uses more digits than its factorization.

30133885680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30133885680 in words is "thirty billion, one hundred thirty-three million, eight hundred eighty-five thousand, six hundred eighty".