8993013120 has 1536 divisors, whose sum is σ = 42977088000. Its totient is φ = 1755758592.

The previous prime is 8993013097. The next prime is 8993013137. The reversal of 8993013120 is 213103998.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209139819 + ... + 209139861.

It is an arithmetic number, because the mean of its divisors is an integer number (27979875).

Almost surely, 2^8993013120 is an apocalyptic number.

8993013120 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 8993013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488544000).

8993013120 is an abundant number, since it is smaller than the sum of its proper divisors (33984074880).

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

8993013120 is a wasteful number, since it uses less digits than its factorization.

8993013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 8993013120 is about 94831.4985645592. The cubic root of 8993013120 is about 2079.5454134773.

The spelling of 8993013120 in words is "eight billion, nine hundred ninety-three million, thirteen thousand, one hundred twenty".