16420800375 has 144 divisors (see below), whose sum is σ = 34831386720. Its totient is φ = 7420089600.

The previous prime is 16420800353. The next prime is 16420800377. The reversal of 16420800375 is 57300802461.

16420800375 is a `hidden beast` number, since 1 + 642 + 0 + 8 + 0 + 0 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 16420800375 - 2⁷ = 16420800247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16420800377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4904452 + ... + 4907798.

It is an arithmetic number, because the mean of its divisors is an integer number (241884630).

Almost surely, 2^16420800375 is an apocalyptic number.

16420800375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16420800375 is an abundant number, since it is smaller than the sum of its proper divisors (18410586345).

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

16420800375 is a wasteful number, since it uses less digits than its factorization.

16420800375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16420800375 in words is "sixteen billion, four hundred twenty million, eight hundred thousand, three hundred seventy-five".