16004213760 has 704 divisors, whose sum is σ = 58481971200. Its totient is φ = 3715891200.

The previous prime is 16004213759. The next prime is 16004213761. The reversal of 16004213760 is 6731240061.

16004213760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16004213759) and next prime (16004213761).

It is a super-2 number, since 2×16004213760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16004213761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262364130 + ... + 262364190.

Almost surely, 2^16004213760 is an apocalyptic number.

16004213760 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 16004213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29240985600).

16004213760 is an abundant number, since it is smaller than the sum of its proper divisors (42477757440).

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

16004213760 is a wasteful number, since it uses less digits than its factorization.

16004213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 16004213760 in words is "sixteen billion, four million, two hundred thirteen thousand, seven hundred sixty".