30168888000000 has 560 divisors, whose sum is σ = 100858516806960. Its totient is φ = 8013414400000.

The previous prime is 30168887999989. The next prime is 30168888000023. The reversal of 30168888000000 is 88886103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6455997664 + ... + 6456002336.

Almost surely, 2^{30168888000000} is an apocalyptic number.

30168888000000 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 30168888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50429258403480).

30168888000000 is an abundant number, since it is smaller than the sum of its proper divisors (70689628806960).

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

30168888000000 is an frugal number, since it uses more digits than its factorization.

30168888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 30168888000000 in words is "thirty trillion, one hundred sixty-eight billion, eight hundred eighty-eight million", and thus it is an aban number.