16290201600 has 450 divisors, whose sum is σ = 60471236364. Its totient is φ = 4335206400.

The previous prime is 16290201583. The next prime is 16290201611. The reversal of 16290201600 is 610209261.

16290201600 is a `hidden beast` number, since 1 + 629 + 0 + 20 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177355 + ... + 33177845.

Almost surely, 2^16290201600 is an apocalyptic number.

16290201600 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 16290201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30235618182).

16290201600 is an abundant number, since it is smaller than the sum of its proper divisors (44181034764).

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

16290201600 is an frugal number, since it uses more digits than its factorization.

16290201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 16290201600 in words is "sixteen billion, two hundred ninety million, two hundred one thousand, six hundred".