11670584016 has 240 divisors, whose sum is σ = 39758913600. Its totient is φ = 2915813376.

The previous prime is 11670583987. The next prime is 11670584027. The reversal of 11670584016 is 61048507611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 570900 + ... + 590988.

It is an arithmetic number, because the mean of its divisors is an integer number (165662140).

Almost surely, 2^11670584016 is an apocalyptic number.

11670584016 is a gapful number since it is divisible by the number (16) 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 11670584016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879456800).

11670584016 is an abundant number, since it is smaller than the sum of its proper divisors (28088329584).

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

11670584016 is a wasteful number, since it uses less digits than its factorization.

11670584016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

It can be divided in two parts, 11670 and 584016, that added together give a triangular number (595686 = T₁₀₉₁).

The spelling of 11670584016 in words is "eleven billion, six hundred seventy million, five hundred eighty-four thousand, sixteen".