30123830880 has 1152 divisors, whose sum is σ = 129626542080. Its totient is φ = 6523545600.

The previous prime is 30123830879. The next prime is 30123830951. The reversal of 30123830880 is 8803832103.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971736465 + ... + 971736495.

It is an arithmetic number, because the mean of its divisors is an integer number (112523040).

Almost surely, 2^30123830880 is an apocalyptic number.

30123830880 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 30123830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64813271040).

30123830880 is an abundant number, since it is smaller than the sum of its proper divisors (99502711200).

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

30123830880 is a wasteful number, since it uses less digits than its factorization.

30123830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 30123830880 in words is "thirty billion, one hundred twenty-three million, eight hundred thirty thousand, eight hundred eighty".