16919580672 has 312 divisors, whose sum is σ = 51520734720. Its totient is φ = 5547294720.

The previous prime is 16919580641. The next prime is 16919580673. The reversal of 16919580672 is 27608591961.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16919580673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88584097 + ... + 88584287.

It is an arithmetic number, because the mean of its divisors is an integer number (165130560).

Almost surely, 2^16919580672 is an apocalyptic number.

16919580672 is a gapful number since it is divisible by the number (12) 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 16919580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25760367360).

16919580672 is an abundant number, since it is smaller than the sum of its proper divisors (34601154048).

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

16919580672 is an frugal number, since it uses more digits than its factorization.

16919580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 16919580672 in words is "sixteen billion, nine hundred nineteen million, five hundred eighty thousand, six hundred seventy-two".