30167056087980 has 192 divisors, whose sum is σ = 100823595264000. Its totient is φ = 6589515626496.

The previous prime is 30167056087979. The next prime is 30167056087999. The reversal of 30167056087980 is 8978065076103.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9173646 + ... + 12020394.

It is an arithmetic number, because the mean of its divisors is an integer number (525122892000).

Almost surely, 2^{30167056087980} is an apocalyptic number.

30167056087980 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 30167056087980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50411797632000).

30167056087980 is an abundant number, since it is smaller than the sum of its proper divisors (70656539176020).

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

30167056087980 is a wasteful number, since it uses less digits than its factorization.

30167056087980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847888 (or 2847886 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 30167056087980 in words is "thirty trillion, one hundred sixty-seven billion, fifty-six million, eighty-seven thousand, nine hundred eighty".