30868902180480 has 3072 divisors, whose sum is σ = 134180167680000. Its totient is φ = 6013364797440.

The previous prime is 30868902180409. The next prime is 30868902180481. The reversal of 30868902180480 is 8408120986803.

It is a self number, because there is not a number n which added to its sum of digits gives 30868902180480.

It is not an unprimeable number, because it can be changed into a prime (30868902180481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79354504126 + ... + 79354504514.

It is an arithmetic number, because the mean of its divisors is an integer number (43678440000).

Almost surely, 2^{30868902180480} is an apocalyptic number.

30868902180480 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 30868902180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67090083840000).

30868902180480 is an abundant number, since it is smaller than the sum of its proper divisors (103311265499520).

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

30868902180480 is a wasteful number, since it uses less digits than its factorization.

30868902180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 30868902180480 in words is "thirty trillion, eight hundred sixty-eight billion, nine hundred two million, one hundred eighty thousand, four hundred eighty".