16928040960 has 288 divisors, whose sum is σ = 60851437920. Its totient is φ = 4513480704.

The previous prime is 16928040959. The next prime is 16928040967. The reversal of 16928040960 is 6904082961.

It is a happy number.

16928040960 is a `hidden beast` number, since 169 + 2 + 80 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16928040967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2484919 + ... + 2491721.

It is an arithmetic number, because the mean of its divisors is an integer number (211289715).

Almost surely, 2^16928040960 is an apocalyptic number.

16928040960 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 16928040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30425718960).

16928040960 is an abundant number, since it is smaller than the sum of its proper divisors (43923396960).

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

16928040960 is an frugal number, since it uses more digits than its factorization.

16928040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16928040960 in words is "sixteen billion, nine hundred twenty-eight million, forty thousand, nine hundred sixty".