11997302983776 has 288 divisors, whose sum is σ = 39518089228800. Its totient is φ = 3412154019840.

The previous prime is 11997302983753. The next prime is 11997302983817. The reversal of 11997302983776 is 67738920379911.

11997302983776 is a `hidden beast` number, since 11 + 99 + 73 + 0 + 2 + 98 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 19024045 + ... + 19644563.

It is an arithmetic number, because the mean of its divisors is an integer number (137215587600).

Almost surely, 2^{11997302983776} is an apocalyptic number.

11997302983776 is a gapful number since it is divisible by the number (16) 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 11997302983776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759044614400).

11997302983776 is an abundant number, since it is smaller than the sum of its proper divisors (27520786245024).

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

11997302983776 is a wasteful number, since it uses less digits than its factorization.

11997302983776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620922 (or 620911 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 11997302983776 in words is "eleven trillion, nine hundred ninety-seven billion, three hundred two million, nine hundred eighty-three thousand, seven hundred seventy-six".