16442905500 has 768 divisors, whose sum is σ = 64157184000. Its totient is φ = 3632428800.

The previous prime is 16442905499. The next prime is 16442905511. The reversal of 16442905500 is 550924461.

16442905500 is a `hidden beast` number, since 1 + 64 + 4 + 2 + 90 + 5 + 500 = 666.

16442905500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16442905500³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 245416467 + ... + 245416533.

It is an arithmetic number, because the mean of its divisors is an integer number (83538000).

Almost surely, 2^16442905500 is an apocalyptic number.

16442905500 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 16442905500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078592000).

16442905500 is an abundant number, since it is smaller than the sum of its proper divisors (47714278500).

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

16442905500 is a wasteful number, since it uses less digits than its factorization.

16442905500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16442905500 in words is "sixteen billion, four hundred forty-two million, nine hundred five thousand, five hundred".