1182791973888 has 1980 divisors, whose sum is σ = 4681016798040. Its totient is φ = 295636303872.

The previous prime is 1182791973877. The next prime is 1182791973929. The reversal of 1182791973888 is 8883791972811.

1182791973888 is a `hidden beast` number, since 11 + 82 + 79 + 1 + 97 + 388 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 22316829670 + ... + 22316829722.

It is an arithmetic number, because the mean of its divisors is an integer number (2364149898).

Almost surely, 2^{1182791973888} is an apocalyptic number.

1182791973888 is a gapful number since it is divisible by the number (18) 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 1182791973888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340508399020).

1182791973888 is an abundant number, since it is smaller than the sum of its proper divisors (3498224824152).

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

1182791973888 is a wasteful number, since it uses less digits than its factorization.

1182791973888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 72.

The spelling of 1182791973888 in words is "one trillion, one hundred eighty-two billion, seven hundred ninety-one million, nine hundred seventy-three thousand, eight hundred eighty-eight".