9385405209920 has 112 divisors (see below), whose sum is σ = 22870568635200. Its totient is φ = 3666562830336.

The previous prime is 9385405209911. The next prime is 9385405210037. The reversal of 9385405209920 is 299025045839.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267380531 + ... + 267415629.

Almost surely, 2^{9385405209920} 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 9385405209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435284317600).

9385405209920 is an abundant number, since it is smaller than the sum of its proper divisors (13485163425280).

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

9385405209920 is a wasteful number, since it uses less digits than its factorization.

9385405209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54592 (or 54582 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 56.

The spelling of 9385405209920 in words is "nine trillion, three hundred eighty-five billion, four hundred five million, two hundred nine thousand, nine hundred twenty".