16919738880 has 320 divisors, whose sum is σ = 60613584768. Its totient is φ = 3990159360.

The previous prime is 16919738879. The next prime is 16919738881. The reversal of 16919738880 is 8883791961.

16919738880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16919738879) and next prime (16919738881).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (16919738881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3123054 + ... + 3128466.

Almost surely, 2^16919738880 is an apocalyptic number.

16919738880 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 16919738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30306792384).

16919738880 is an abundant number, since it is smaller than the sum of its proper divisors (43693845888).

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

16919738880 is a wasteful number, since it uses less digits than its factorization.

16919738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 16919738880 in words is "sixteen billion, nine hundred nineteen million, seven hundred thirty-eight thousand, eight hundred eighty".