11517770240 has 80 divisors (see below), whose sum is σ = 27965710080. Its totient is φ = 4548710400.

The previous prime is 11517770213. The next prime is 11517770333. The reversal of 11517770240 is 4207771511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11517770240.

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 7 ways as a sum of consecutive naturals, for example, 173765 + ... + 230715.

It is an arithmetic number, because the mean of its divisors is an integer number (349571376).

Almost surely, 2^11517770240 is an apocalyptic number.

11517770240 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 11517770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982855040).

11517770240 is an abundant number, since it is smaller than the sum of its proper divisors (16447939840).

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

11517770240 is an frugal number, since it uses more digits than its factorization.

11517770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57053 (or 57037 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 35.

The spelling of 11517770240 in words is "eleven billion, five hundred seventeen million, seven hundred seventy thousand, two hundred forty".