16004587680 has 144 divisors (see below), whose sum is σ = 57490261920. Its totient is φ = 4043257344.

The previous prime is 16004587673. The next prime is 16004587691. The reversal of 16004587680 is 8678540061.

It is a happy number.

16004587680 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 4 + 587 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×16004587680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265122 + ... + 319841.

It is an arithmetic number, because the mean of its divisors is an integer number (399237930).

Almost surely, 2^16004587680 is an apocalyptic number.

16004587680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16004587680 is an abundant number, since it is smaller than the sum of its proper divisors (41485674240).

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

16004587680 is a wasteful number, since it uses less digits than its factorization.

16004587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585003 (or 584992 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 16004587680 in words is "sixteen billion, four million, five hundred eighty-seven thousand, six hundred eighty".