1150834786800 has 180 divisors, whose sum is σ = 3809266961400. Its totient is φ = 296989324800.

The previous prime is 1150834786763. The next prime is 1150834786837. The reversal of 1150834786800 is 86874380511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1150834786763) and next prime (1150834786837).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 654226 + ... + 1652174.

It is an arithmetic number, because the mean of its divisors is an integer number (21162594230).

Almost surely, 2^{1150834786800} is an apocalyptic number.

1150834786800 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 1150834786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904633480700).

1150834786800 is an abundant number, since it is smaller than the sum of its proper divisors (2658432174600).

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

1150834786800 is a wasteful number, since it uses less digits than its factorization.

1150834786800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998032 (or 997990 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 1150834786800 in words is "one trillion, one hundred fifty billion, eight hundred thirty-four million, seven hundred eighty-six thousand, eight hundred".