11914773120 has 384 divisors, whose sum is σ = 43306099200. Its totient is φ = 3014369280.

The previous prime is 11914773083. The next prime is 11914773179. The reversal of 11914773120 is 2137741911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9463051 + ... + 9464309.

It is an arithmetic number, because the mean of its divisors is an integer number (112776300).

Almost surely, 2^11914773120 is an apocalyptic number.

11914773120 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 11914773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

11914773120 is an abundant number, since it is smaller than the sum of its proper divisors (31391326080).

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

11914773120 is a wasteful number, since it uses less digits than its factorization.

11914773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 11914773120 in words is "eleven billion, nine hundred fourteen million, seven hundred seventy-three thousand, one hundred twenty".