86030334748800 has 6912 divisors, whose sum is σ = 405029054160000. Its totient is φ = 17738178232320.

The previous prime is 86030334748759. The next prime is 86030334748823. The reversal of 86030334748800 is 884743303068.

86030334748800 is a `hidden beast` number, since 8 + 60 + 3 + 0 + 33 + 474 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2325144182382 + ... + 2325144182418.

Almost surely, 2^{86030334748800} is an apocalyptic number.

86030334748800 is a gapful number since it is divisible by the number (80) 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 86030334748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202514527080000).

86030334748800 is an abundant number, since it is smaller than the sum of its proper divisors (318998719411200).

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

86030334748800 is a wasteful number, since it uses less digits than its factorization.

86030334748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 86030334748800 in words is "eighty-six trillion, thirty billion, three hundred thirty-four million, seven hundred forty-eight thousand, eight hundred".