11859510320 has 160 divisors (see below), whose sum is σ = 31893637248. Its totient is φ = 4017291264.

The previous prime is 11859510293. The next prime is 11859510337. The reversal of 11859510320 is 2301595811.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21291482 + ... + 21292038.

Almost surely, 2^11859510320 is an apocalyptic number.

11859510320 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 11859510320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946818624).

11859510320 is an abundant number, since it is smaller than the sum of its proper divisors (20034126928).

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

11859510320 is a wasteful number, since it uses less digits than its factorization.

11859510320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 11859510320 in words is "eleven billion, eight hundred fifty-nine million, five hundred ten thousand, three hundred twenty".