11912893920 has 288 divisors, whose sum is σ = 41342464800. Its totient is φ = 3123412992.

The previous prime is 11912893879. The next prime is 11912893921. The reversal of 11912893920 is 2939821911.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11912893921) 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 47 ways as a sum of consecutive naturals, for example, 29126676 + ... + 29127084.

It is an arithmetic number, because the mean of its divisors is an integer number (143550225).

Almost surely, 2^11912893920 is an apocalyptic number.

11912893920 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 11912893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20671232400).

11912893920 is an abundant number, since it is smaller than the sum of its proper divisors (29429570880).

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

11912893920 is a wasteful number, since it uses less digits than its factorization.

11912893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11912893920 in words is "eleven billion, nine hundred twelve million, eight hundred ninety-three thousand, nine hundred twenty".