16887713760 has 384 divisors, whose sum is σ = 64234598400. Its totient is φ = 4128122880.

The previous prime is 16887713749. The next prime is 16887713771. The reversal of 16887713760 is 6731778861.

It is an interprime number because it is at equal distance from previous prime (16887713749) and next prime (16887713771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16887713697 and 16887713706.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2541162 + ... + 2547798.

It is an arithmetic number, because the mean of its divisors is an integer number (167277600).

Almost surely, 2^16887713760 is an apocalyptic number.

16887713760 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 16887713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32117299200).

16887713760 is an abundant number, since it is smaller than the sum of its proper divisors (47346884640).

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

16887713760 is a wasteful number, since it uses less digits than its factorization.

16887713760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 16887713760 in words is "sixteen billion, eight hundred eighty-seven million, seven hundred thirteen thousand, seven hundred sixty".