16538497200 has 90 divisors (see below), whose sum is σ = 57393191804. Its totient is φ = 4410264960.

The previous prime is 16538497189. The next prime is 16538497211. The reversal of 16538497200 is 279483561.

16538497200 is a `hidden beast` number, since 1 + 6 + 538 + 4 + 97 + 20 + 0 = 666.

16538497200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16538497189) and next prime (16538497211).

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 2293414 + ... + 2300613.

It is a 1-persistent number, because it is pandigital, but 2⋅16538497200 = 33076994400 is not.

Almost surely, 2^16538497200 is an apocalyptic number.

16538497200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16538497200 is an abundant number, since it is smaller than the sum of its proper divisors (40854694604).

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

16538497200 is a wasteful number, since it uses less digits than its factorization.

16538497200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594051 (or 4594037 counting only the distinct ones).

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

The spelling of 16538497200 in words is "sixteen billion, five hundred thirty-eight million, four hundred ninety-seven thousand, two hundred".