16787256960 has 256 divisors, whose sum is σ = 57529958400. Its totient is φ = 4150333440.

The previous prime is 16787256947. The next prime is 16787257001. The reversal of 16787256960 is 6965278761.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 16787256960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709665 + ... + 1719455.

It is an arithmetic number, because the mean of its divisors is an integer number (224726400).

Almost surely, 2^16787256960 is an apocalyptic number.

16787256960 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 16787256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28764979200).

16787256960 is an abundant number, since it is smaller than the sum of its proper divisors (40742701440).

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

16787256960 is a wasteful number, since it uses less digits than its factorization.

16787256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9867 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 16787256960 in words is "sixteen billion, seven hundred eighty-seven million, two hundred fifty-six thousand, nine hundred sixty".