11966792111820 has 2160 divisors, whose sum is σ = 50173451697600. Its totient is φ = 2385198047232.

The previous prime is 11966792111819. The next prime is 11966792111863. The reversal of 11966792111820 is 2811129766911.

11966792111820 is a `hidden beast` number, since 1 + 196 + 67 + 9 + 211 + 182 + 0 = 666.

It is a super-2 number, since 2×11966792111820² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 33900260764 + ... + 33900261116.

It is an arithmetic number, because the mean of its divisors is an integer number (23228449860).

Almost surely, 2^{11966792111820} is an apocalyptic number.

11966792111820 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 11966792111820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086725848800).

11966792111820 is an abundant number, since it is smaller than the sum of its proper divisors (38206659585780).

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

11966792111820 is a wasteful number, since it uses less digits than its factorization.

11966792111820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 11966792111820 in words is "eleven trillion, nine hundred sixty-six billion, seven hundred ninety-two million, one hundred eleven thousand, eight hundred twenty".