16820567040 has 352 divisors, whose sum is σ = 58537387584. Its totient is φ = 4105175040.

The previous prime is 16820566993. The next prime is 16820567081. The reversal of 16820567040 is 4076502861.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 16820567040.

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, 9660570 + ... + 9662310.

Almost surely, 2^16820567040 is an apocalyptic number.

16820567040 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 16820567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268693792).

16820567040 is an abundant number, since it is smaller than the sum of its proper divisors (41716820544).

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

16820567040 is a wasteful number, since it uses less digits than its factorization.

16820567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 16820567040 in words is "sixteen billion, eight hundred twenty million, five hundred sixty-seven thousand, forty".