11317553689728 has 1152 divisors, whose sum is σ = 38895046041600. Its totient is φ = 2901198643200.

The previous prime is 11317553689699. The next prime is 11317553689787. The reversal of 11317553689728 is 82798635571311.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4625071801 + ... + 4625074247.

It is an arithmetic number, because the mean of its divisors is an integer number (33763060800).

Almost surely, 2^{11317553689728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11317553689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447523020800).

11317553689728 is an abundant number, since it is smaller than the sum of its proper divisors (27577492351872).

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

11317553689728 is a wasteful number, since it uses less digits than its factorization.

11317553689728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2526 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 66.

The spelling of 11317553689728 in words is "eleven trillion, three hundred seventeen billion, five hundred fifty-three million, six hundred eighty-nine thousand, seven hundred twenty-eight".