9911013073920 has 528 divisors, whose sum is σ = 39271674169728. Its totient is φ = 2263968645120.

The previous prime is 9911013073919. The next prime is 9911013074021. The reversal of 9911013073920 is 293703101199.

It is a super-3 number, since 3×9911013073920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573180475 + ... + 573197765.

It is an arithmetic number, because the mean of its divisors is an integer number (74378170776).

Almost surely, 2^{9911013073920} is an apocalyptic number.

9911013073920 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 9911013073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19635837084864).

9911013073920 is an abundant number, since it is smaller than the sum of its proper divisors (29360661095808).

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

9911013073920 is a wasteful number, since it uses less digits than its factorization.

9911013073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19106 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 9911013073920 in words is "nine trillion, nine hundred eleven billion, thirteen million, seventy-three thousand, nine hundred twenty".