11480870016 has 640 divisors, whose sum is σ = 43400396160. Its totient is φ = 2926264320.

The previous prime is 11480869991. The next prime is 11480870021. The reversal of 11480870016 is 61007808411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58278430 + ... + 58278626.

It is an arithmetic number, because the mean of its divisors is an integer number (67813119).

Almost surely, 2^11480870016 is an apocalyptic number.

11480870016 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 11480870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700198080).

11480870016 is an abundant number, since it is smaller than the sum of its proper divisors (31919526144).

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

11480870016 is a wasteful number, since it uses less digits than its factorization.

11480870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11480870016 in words is "eleven billion, four hundred eighty million, eight hundred seventy thousand, sixteen".