9293979985920 has 1536 divisors, whose sum is σ = 39977473536000. Its totient is φ = 2002865356800.

The previous prime is 9293979985919. The next prime is 9293979985951. The reversal of 9293979985920 is 295899793929.

9293979985920 is a `hidden beast` number, since 92 + 9 + 397 + 9 + 98 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 9293979985920.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2413391995 + ... + 2413395845.

It is an arithmetic number, because the mean of its divisors is an integer number (26027001000).

Almost surely, 2^{9293979985920} is an apocalyptic number.

9293979985920 is a gapful number since it is divisible by the number (90) 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 9293979985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988736768000).

9293979985920 is an abundant number, since it is smaller than the sum of its proper divisors (30683493550080).

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

9293979985920 is a wasteful number, since it uses less digits than its factorization.

9293979985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 1785641760, while the sum is 81.

The spelling of 9293979985920 in words is "nine trillion, two hundred ninety-three billion, nine hundred seventy-nine million, nine hundred eighty-five thousand, nine hundred twenty".