1123985756160 has 1040 divisors, whose sum is σ = 4264473121920. Its totient is φ = 282620067840.

The previous prime is 1123985756123. The next prime is 1123985756177. The reversal of 1123985756160 is 616575893211.

1123985756160 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 9 + 8 + 575 + 6 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1123985756097 and 1123985756106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3395727195 + ... + 3395727525.

Almost surely, 2^{1123985756160} is an apocalyptic number.

1123985756160 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 1123985756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132236560960).

1123985756160 is an abundant number, since it is smaller than the sum of its proper divisors (3140487365760).

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

1123985756160 is an equidigital number, since it uses as much as digits as its factorization.

1123985756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1123985756160 in words is "one trillion, one hundred twenty-three billion, nine hundred eighty-five million, seven hundred fifty-six thousand, one hundred sixty".