393380718080 has 960 divisors, whose sum is σ = 1245994358400. Its totient is φ = 118611247104.

The previous prime is 393380718079. The next prime is 393380718139. The reversal of 393380718080 is 80817083393.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5388776924 + ... + 5388776996.

It is an arithmetic number, because the mean of its divisors is an integer number (1297910790).

Almost surely, 2^393380718080 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 393380718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622997179200).

393380718080 is an abundant number, since it is smaller than the sum of its proper divisors (852613640320).

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

393380718080 is an equidigital number, since it uses as much as digits as its factorization.

393380718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 393380718080 in words is "three hundred ninety-three billion, three hundred eighty million, seven hundred eighteen thousand, eighty".