11531983120 has 80 divisors (see below), whose sum is σ = 32254899840. Its totient is φ = 3745723392.

The previous prime is 11531983091. The next prime is 11531983123. The reversal of 11531983120 is 2138913511.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11531983123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531277 + ... + 552556.

It is an arithmetic number, because the mean of its divisors is an integer number (403186248).

Almost surely, 2^11531983120 is an apocalyptic number.

11531983120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531983120 is an abundant number, since it is smaller than the sum of its proper divisors (20722916720).

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

11531983120 is a wasteful number, since it uses less digits than its factorization.

11531983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083872 (or 1083866 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11531983120 in words is "eleven billion, five hundred thirty-one million, nine hundred eighty-three thousand, one hundred twenty".