16587328968 has 288 divisors, whose sum is σ = 55395100800. Its totient is φ = 4384005120.

The previous prime is 16587328957. The next prime is 16587328973. The reversal of 16587328968 is 86982378561.

16587328968 is a `hidden beast` number, since 16 + 587 + 32 + 8 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11139168 + ... + 11140656.

It is an arithmetic number, because the mean of its divisors is an integer number (192344100).

Almost surely, 2^16587328968 is an apocalyptic number.

16587328968 is a gapful number since it is divisible by the number (18) 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 16587328968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27697550400).

16587328968 is an abundant number, since it is smaller than the sum of its proper divisors (38807771832).

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

16587328968 is a wasteful number, since it uses less digits than its factorization.

16587328968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1555 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 16587328968 in words is "sixteen billion, five hundred eighty-seven million, three hundred twenty-eight thousand, nine hundred sixty-eight".