11539317120 has 512 divisors, whose sum is σ = 42830208000. Its totient is φ = 2621177856.

The previous prime is 11539317091. The next prime is 11539317131. The reversal of 11539317120 is 2171393511.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14263276 + ... + 14264084.

It is an arithmetic number, because the mean of its divisors is an integer number (83652750).

Almost surely, 2^11539317120 is an apocalyptic number.

11539317120 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 11539317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415104000).

11539317120 is an abundant number, since it is smaller than the sum of its proper divisors (31290890880).

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

11539317120 is a wasteful number, since it uses less digits than its factorization.

11539317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The spelling of 11539317120 in words is "eleven billion, five hundred thirty-nine million, three hundred seventeen thousand, one hundred twenty".