11000403686832 has 240 divisors, whose sum is σ = 33169481184000. Its totient is φ = 3077359653888.

The previous prime is 11000403686813. The next prime is 11000403686849. The reversal of 11000403686832 is 23868630400011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470956498 + ... + 470979854.

It is an arithmetic number, because the mean of its divisors is an integer number (138206171600).

Almost surely, 2^{11000403686832} is an apocalyptic number.

11000403686832 is a gapful number since it is divisible by the number (12) 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 11000403686832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584740592000).

11000403686832 is an abundant number, since it is smaller than the sum of its proper divisors (22169077497168).

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

11000403686832 is a wasteful number, since it uses less digits than its factorization.

11000403686832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23980 (or 23921 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 11000403686832 in words is "eleven trillion, four hundred three million, six hundred eighty-six thousand, eight hundred thirty-two".