11365686480 has 160 divisors (see below), whose sum is σ = 35558759808. Its totient is φ = 3003033600.

The previous prime is 11365686433. The next prime is 11365686503. The reversal of 11365686480 is 8468656311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19904595 + ... + 19905165.

Almost surely, 2^11365686480 is an apocalyptic number.

11365686480 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 11365686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779379904).

11365686480 is an abundant number, since it is smaller than the sum of its proper divisors (24193073328).

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

11365686480 is a wasteful number, since it uses less digits than its factorization.

11365686480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 11365686480 in words is "eleven billion, three hundred sixty-five million, six hundred eighty-six thousand, four hundred eighty".