30816000000 has 504 divisors, whose sum is σ = 112291140780. Its totient is φ = 8140800000.

The previous prime is 30815999987. The next prime is 30816000023. The reversal of 30816000000 is 61803.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999947 + ... + 288000053.

Almost surely, 2^30816000000 is an apocalyptic number.

30816000000 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 30816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56145570390).

30816000000 is an abundant number, since it is smaller than the sum of its proper divisors (81475140780).

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

30816000000 is an frugal number, since it uses more digits than its factorization.

30816000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30816000000 its reverse (61803), we get a palindrome (30816061803).

The spelling of 30816000000 in words is "thirty billion, eight hundred sixteen million", and thus it is an aban number.