1154291828800 has 168 divisors, whose sum is σ = 3099482682912. Its totient is φ = 419607552000.

The previous prime is 1154291828791. The next prime is 1154291828801. The reversal of 1154291828800 is 88281924511.

It is not an unprimeable number, because it can be changed into a prime (1154291828801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66748155 + ... + 66765445.

It is an arithmetic number, because the mean of its divisors is an integer number (18449301684).

Almost surely, 2^{1154291828800} is an apocalyptic number.

1154291828800 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 1154291828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549741341456).

1154291828800 is an abundant number, since it is smaller than the sum of its proper divisors (1945190854112).

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

1154291828800 is a wasteful number, since it uses less digits than its factorization.

1154291828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21117 (or 21102 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 1154291828800 in words is "one trillion, one hundred fifty-four billion, two hundred ninety-one million, eight hundred twenty-eight thousand, eight hundred".