11675584080 has 160 divisors (see below), whose sum is σ = 40291528320. Its totient is φ = 3107635200.

The previous prime is 11675584049. The next prime is 11675584117. The reversal of 11675584080 is 8048557611.

11675584080 is a `hidden beast` number, since 1 + 1 + 67 + 5 + 584 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1211280 + ... + 1220880.

It is an arithmetic number, because the mean of its divisors is an integer number (251822052).

Almost surely, 2^11675584080 is an apocalyptic number.

11675584080 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 11675584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145764160).

11675584080 is an abundant number, since it is smaller than the sum of its proper divisors (28615944240).

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

11675584080 is a wasteful number, since it uses less digits than its factorization.

11675584080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11675584080 in words is "eleven billion, six hundred seventy-five million, five hundred eighty-four thousand, eighty".