11120969958360 has 256 divisors, whose sum is σ = 33886629504000. Its totient is φ = 2919415080960.

The previous prime is 11120969958353. The next prime is 11120969958377. The reversal of 11120969958360 is 6385996902111.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11120969958294 and 11120969958303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787907246 + ... + 2787911234.

It is an arithmetic number, because the mean of its divisors is an integer number (132369646500).

Almost surely, 2^{11120969958360} is an apocalyptic number.

11120969958360 is a gapful number since it is divisible by the number (10) 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 11120969958360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943314752000).

11120969958360 is an abundant number, since it is smaller than the sum of its proper divisors (22765659545640).

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

11120969958360 is a wasteful number, since it uses less digits than its factorization.

11120969958360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 60.

The spelling of 11120969958360 in words is "eleven trillion, one hundred twenty billion, nine hundred sixty-nine million, nine hundred fifty-eight thousand, three hundred sixty".