11000687363328 has 432 divisors, whose sum is σ = 33133828835520. Its totient is φ = 3219953909760.

The previous prime is 11000687363311. The next prime is 11000687363329. The reversal of 11000687363328 is 82336378600011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000687363329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566073100 + ... + 566092532.

It is an arithmetic number, because the mean of its divisors is an integer number (76698677860).

Almost surely, 2^{11000687363328} 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 11000687363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566914417760).

11000687363328 is an abundant number, since it is smaller than the sum of its proper divisors (22133141472192).

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

11000687363328 is a wasteful number, since it uses less digits than its factorization.

11000687363328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 11000687363328 in words is "eleven trillion, six hundred eighty-seven million, three hundred sixty-three thousand, three hundred twenty-eight".