30561680808864 has 240 divisors, whose sum is σ = 94675234056480. Its totient is φ = 9644569689600.

The previous prime is 30561680808859. The next prime is 30561680808889. The reversal of 30561680808864 is 46880808616503.

30561680808864 is a `hidden beast` number, since 3 + 0 + 5 + 616 + 8 + 0 + 8 + 0 + 8 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×30561680808864² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73319439 + ... + 73735089.

It is an arithmetic number, because the mean of its divisors is an integer number (394480141902).

Almost surely, 2^{30561680808864} 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 30561680808864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47337617028240).

30561680808864 is an abundant number, since it is smaller than the sum of its proper divisors (64113553247616).

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

30561680808864 is a wasteful number, since it uses less digits than its factorization.

30561680808864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417185 (or 417168 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 30561680808864 in words is "thirty trillion, five hundred sixty-one billion, six hundred eighty million, eight hundred eight thousand, eight hundred sixty-four".