1184720828160 has 288 divisors, whose sum is σ = 4011403798080. Its totient is φ = 296960917504.

The previous prime is 1184720828147. The next prime is 1184720828201. The reversal of 1184720828160 is 618280274811.

It is a super-2 number, since 2×1184720828160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52800304 + ... + 52822736.

It is an arithmetic number, because the mean of its divisors is an integer number (13928485410).

Almost surely, 2^{1184720828160} is an apocalyptic number.

1184720828160 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 1184720828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005701899040).

1184720828160 is an abundant number, since it is smaller than the sum of its proper divisors (2826682969920).

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

1184720828160 is a wasteful number, since it uses less digits than its factorization.

1184720828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23283 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 1184720828160 in words is "one trillion, one hundred eighty-four billion, seven hundred twenty million, eight hundred twenty-eight thousand, one hundred sixty".