16890347520 has 360 divisors, whose sum is σ = 60521959680. Its totient is φ = 4352901120.

The previous prime is 16890347519. The next prime is 16890347531. The reversal of 16890347520 is 2574309861.

16890347520 is a `hidden beast` number, since 1 + 6 + 8 + 90 + 34 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22855311 + ... + 22856049.

It is a 1-persistent number, because it is pandigital, but 2⋅16890347520 = 33780695040 is not.

Almost surely, 2^16890347520 is an apocalyptic number.

16890347520 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 16890347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260979840).

16890347520 is an abundant number, since it is smaller than the sum of its proper divisors (43631612160).

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

16890347520 is an equidigital number, since it uses as much as digits as its factorization.

16890347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16890347520 in words is "sixteen billion, eight hundred ninety million, three hundred forty-seven thousand, five hundred twenty".