16090368000 has 768 divisors, whose sum is σ = 63534481920. Its totient is φ = 3538944000.

The previous prime is 16090367983. The next prime is 16090368013. The reversal of 16090368000 is 86309061.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220415964 + ... + 220416036.

It is an arithmetic number, because the mean of its divisors is an integer number (82727190).

Almost surely, 2^16090368000 is an apocalyptic number.

16090368000 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 16090368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767240960).

16090368000 is an abundant number, since it is smaller than the sum of its proper divisors (47444113920).

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

16090368000 is an equidigital number, since it uses as much as digits as its factorization.

16090368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 16090368000 in words is "sixteen billion, ninety million, three hundred sixty-eight thousand".