11926780416 has 320 divisors, whose sum is σ = 36507187200. Its totient is φ = 3842961408.

The previous prime is 11926780399. The next prime is 11926780417. The reversal of 11926780416 is 61408762911.

11926780416 is a `hidden beast` number, since 11 + 92 + 67 + 80 + 416 = 666.

It is a super-2 number, since 2×11926780416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11926780417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73170351 + ... + 73170513.

It is an arithmetic number, because the mean of its divisors is an integer number (114084960).

Almost surely, 2^11926780416 is an apocalyptic number.

11926780416 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 11926780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253593600).

11926780416 is an abundant number, since it is smaller than the sum of its proper divisors (24580406784).

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

11926780416 is an equidigital number, since it uses as much as digits as its factorization.

11926780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11926780416 in words is "eleven billion, nine hundred twenty-six million, seven hundred eighty thousand, four hundred sixteen".