11906797824 has 360 divisors, whose sum is σ = 38018645280. Its totient is φ = 3708592128.

The previous prime is 11906797801. The next prime is 11906797831. The reversal of 11906797824 is 42879760911.

It is a super-2 number, since 2×11906797824² (a number of 21 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85660347 + ... + 85660485.

It is an arithmetic number, because the mean of its divisors is an integer number (105607348).

Almost surely, 2^11906797824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11906797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009322640).

11906797824 is an abundant number, since it is smaller than the sum of its proper divisors (26111847456).

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

11906797824 is an frugal number, since it uses more digits than its factorization.

11906797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11906797824 in words is "eleven billion, nine hundred six million, seven hundred ninety-seven thousand, eight hundred twenty-four".