1132086067200 has 1728 divisors, whose sum is σ = 4720948464960. Its totient is φ = 268605849600.

The previous prime is 1132086067169. The next prime is 1132086067223. The reversal of 1132086067200 is 27606802311.

1132086067200 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 8 + 606 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 24086937577 + ... + 24086937623.

Almost surely, 2^{1132086067200} is an apocalyptic number.

1132086067200 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 1132086067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360474232480).

1132086067200 is an abundant number, since it is smaller than the sum of its proper divisors (3588862397760).

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

1132086067200 is an frugal number, since it uses more digits than its factorization.

1132086067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1132086067200 in words is "one trillion, one hundred thirty-two billion, eighty-six million, sixty-seven thousand, two hundred".