30158468555904 has 768 divisors, whose sum is σ = 102260563292160. Its totient is φ = 8442770227200.

The previous prime is 30158468555903. The next prime is 30158468555983. The reversal of 30158468555904 is 40955586485103.

30158468555904 is a `hidden beast` number, since 3 + 0 + 15 + 8 + 4 + 68 + 5 + 559 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (30158468555903) 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, 10899336729 + ... + 10899339495.

It is an arithmetic number, because the mean of its divisors is an integer number (133151775120).

Almost surely, 2^{30158468555904} is an apocalyptic number.

30158468555904 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 30158468555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51130281646080).

30158468555904 is an abundant number, since it is smaller than the sum of its proper divisors (72102094736256).

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

30158468555904 is a wasteful number, since it uses less digits than its factorization.

30158468555904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 30158468555904 in words is "thirty trillion, one hundred fifty-eight billion, four hundred sixty-eight million, five hundred fifty-five thousand, nine hundred four".