30804976089888 has 384 divisors, whose sum is σ = 108584564981760. Its totient is φ = 7384911851520.

The previous prime is 30804976089887. The next prime is 30804976089911. The reversal of 30804976089888 is 88898067940803.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (30804976089887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137667006 + ... + 1137694082.

It is an arithmetic number, because the mean of its divisors is an integer number (282772304640).

Almost surely, 2^{30804976089888} 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 30804976089888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54292282490880).

30804976089888 is an abundant number, since it is smaller than the sum of its proper divisors (77779588891872).

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

30804976089888 is a wasteful number, since it uses less digits than its factorization.

30804976089888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960 (or 38952 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 78.

The spelling of 30804976089888 in words is "thirty trillion, eight hundred four billion, nine hundred seventy-six million, eighty-nine thousand, eight hundred eighty-eight".