1136505216000 has 3168 divisors, whose sum is σ = 5364471041280. Its totient is φ = 210567168000.

The previous prime is 1136505215987. The next prime is 1136505216031. The reversal of 1136505216000 is 6125056311.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 59816063991 + ... + 59816064009.

Almost surely, 2^{1136505216000} is an apocalyptic number.

1136505216000 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 1136505216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682235520640).

1136505216000 is an abundant number, since it is smaller than the sum of its proper divisors (4227965825280).

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

1136505216000 is a wasteful number, since it uses less digits than its factorization.

1136505216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1136505216000 in words is "one trillion, one hundred thirty-six billion, five hundred five million, two hundred sixteen thousand".