30813564358980 has 288 divisors, whose sum is σ = 101335760049888. Its totient is φ = 7533814579200.

The previous prime is 30813564358939. The next prime is 30813564358987. The reversal of 30813564358980 is 8985346531803.

30813564358980 is a `hidden beast` number, since 3 + 0 + 8 + 1 + 3 + 5 + 6 + 43 + 589 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 211336961796 + 30602227397184 = 459714^2 + 5531928^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30813564358987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117188790 + ... + 1117216370.

It is an arithmetic number, because the mean of its divisors is an integer number (351860277951).

Almost surely, 2^{30813564358980} is an apocalyptic number.

30813564358980 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 30813564358980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50667880024944).

30813564358980 is an abundant number, since it is smaller than the sum of its proper divisors (70522195690908).

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

30813564358980 is a wasteful number, since it uses less digits than its factorization.

30813564358980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30807 (or 30802 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 30813564358980 in words is "thirty trillion, eight hundred thirteen billion, five hundred sixty-four million, three hundred fifty-eight thousand, nine hundred eighty".