1150894113600 has 2016 divisors, whose sum is σ = 5115232604160. Its totient is φ = 221040230400.

The previous prime is 1150894113599. The next prime is 1150894113643. The reversal of 1150894113600 is 63114980511.

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 287 ways as a sum of consecutive naturals, for example, 3630580642 + ... + 3630580958.

It is an arithmetic number, because the mean of its divisors is an integer number (2537317760).

Almost surely, 2^{1150894113600} is an apocalyptic number.

1150894113600 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 1150894113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557616302080).

1150894113600 is an abundant number, since it is smaller than the sum of its proper divisors (3964338490560).

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

1150894113600 is a wasteful number, since it uses less digits than its factorization.

1150894113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 1150894113600 in words is "one trillion, one hundred fifty billion, eight hundred ninety-four million, one hundred thirteen thousand, six hundred".