1150165828800 has 336 divisors, whose sum is σ = 4198016800800. Its totient is φ = 306327859200.

The previous prime is 1150165828793. The next prime is 1150165828849. The reversal of 1150165828800 is 88285610511.

1150165828800 is a `hidden beast` number, since 1 + 1 + 50 + 16 + 582 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35450986 + ... + 35483414.

Almost surely, 2^{1150165828800} is an apocalyptic number.

1150165828800 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 1150165828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099008400400).

1150165828800 is an abundant number, since it is smaller than the sum of its proper divisors (3047850972000).

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

1150165828800 is a wasteful number, since it uses less digits than its factorization.

1150165828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33281 (or 33260 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 1150165828800 in words is "one trillion, one hundred fifty billion, one hundred sixty-five million, eight hundred twenty-eight thousand, eight hundred".