11929993920 has 504 divisors, whose sum is σ = 45015399936. Its totient is φ = 2898395136.

The previous prime is 11929993919. The next prime is 11929993921. The reversal of 11929993920 is 2939992911.

It is an interprime number because it is at equal distance from previous prime (11929993919) and next prime (11929993921).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11929993921) 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 71 ways as a sum of consecutive naturals, for example, 61813344 + ... + 61813536.

Almost surely, 2^11929993920 is an apocalyptic number.

11929993920 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 11929993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22507699968).

11929993920 is an abundant number, since it is smaller than the sum of its proper divisors (33085406016).

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

11929993920 is a wasteful number, since it uses less digits than its factorization.

11929993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 11929993920 in words is "eleven billion, nine hundred twenty-nine million, nine hundred ninety-three thousand, nine hundred twenty".