11738215160000 has 280 divisors, whose sum is σ = 34412191698720. Its totient is φ = 3885751296000.

The previous prime is 11738215159969. The next prime is 11738215160051. The reversal of 11738215160000 is 6151283711.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7397204 + ... + 8842796.

Almost surely, 2^{11738215160000} is an apocalyptic number.

11738215160000 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 11738215160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206095849360).

11738215160000 is an abundant number, since it is smaller than the sum of its proper divisors (22673976538720).

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

11738215160000 is an equidigital number, since it uses as much as digits as its factorization.

11738215160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445661 (or 1445636 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 11738215160000 in words is "eleven trillion, seven hundred thirty-eight billion, two hundred fifteen million, one hundred sixty thousand".