16723890540 has 288 divisors, whose sum is σ = 60836106240. Its totient is φ = 3638131200.

The previous prime is 16723890527. The next prime is 16723890563. The reversal of 16723890540 is 4509832761.

16723890540 is a `hidden beast` number, since 1 + 6 + 7 + 23 + 89 + 0 + 540 = 666.

16723890540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2379151 + ... + 2386169.

It is an arithmetic number, because the mean of its divisors is an integer number (211236480).

It is a 1-persistent number, because it is pandigital, but 2⋅16723890540 = 33447781080 is not.

Almost surely, 2^16723890540 is an apocalyptic number.

16723890540 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 16723890540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30418053120).

16723890540 is an abundant number, since it is smaller than the sum of its proper divisors (44112215700).

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

16723890540 is a wasteful number, since it uses less digits than its factorization.

16723890540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7128 counting only the distinct ones).

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

The spelling of 16723890540 in words is "sixteen billion, seven hundred twenty-three million, eight hundred ninety thousand, five hundred forty".