11082961747200 has 648 divisors, whose sum is σ = 42986677968192. Its totient is φ = 2507111792640.

The previous prime is 11082961747189. The next prime is 11082961747243. The reversal of 11082961747200 is 274716928011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11082961747200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91196877 + ... + 91318323.

Almost surely, 2^{11082961747200} is an apocalyptic number.

11082961747200 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 11082961747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21493338984096).

11082961747200 is an abundant number, since it is smaller than the sum of its proper divisors (31903716220992).

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

11082961747200 is a wasteful number, since it uses less digits than its factorization.

11082961747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121587 (or 121561 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 11082961747200 in words is "eleven trillion, eighty-two billion, nine hundred sixty-one million, seven hundred forty-seven thousand, two hundred".