16007011840 has 160 divisors (see below), whose sum is σ = 39473723520. Its totient is φ = 6222249984.

The previous prime is 16007011831. The next prime is 16007011859. The reversal of 16007011840 is 4811070061.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 16007011799 and 16007011808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20814976 + ... + 20815744.

It is an arithmetic number, because the mean of its divisors is an integer number (246710772).

Almost surely, 2^16007011840 is an apocalyptic number.

16007011840 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 16007011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736861760).

16007011840 is an abundant number, since it is smaller than the sum of its proper divisors (23466711680).

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

16007011840 is an equidigital number, since it uses as much as digits as its factorization.

16007011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 16007011840 in words is "sixteen billion, seven million, eleven thousand, eight hundred forty".