16787285760 has 288 divisors, whose sum is σ = 61728145920. Its totient is φ = 3808641024.

The previous prime is 16787285743. The next prime is 16787285791. The reversal of 16787285760 is 6758278761.

It is a self number, because there is not a number n which added to its sum of digits gives 16787285760.

It is a congruent number.

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, 3734074 + ... + 3738566.

It is an arithmetic number, because the mean of its divisors is an integer number (214333840).

Almost surely, 2^16787285760 is an apocalyptic number.

16787285760 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 16787285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30864072960).

16787285760 is an abundant number, since it is smaller than the sum of its proper divisors (44940860160).

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

16787285760 is a wasteful number, since it uses less digits than its factorization.

16787285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 16787285760 in words is "sixteen billion, seven hundred eighty-seven million, two hundred eighty-five thousand, seven hundred sixty".