16497885600 has 720 divisors, whose sum is σ = 70689725568. Its totient is φ = 3665295360.

The previous prime is 16497885577. The next prime is 16497885617. The reversal of 16497885600 is 658879461.

16497885600 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 78 + 8 + 560 + 0 = 666.

16497885600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 16782709 + ... + 16783691.

Almost surely, 2^16497885600 is an apocalyptic number.

16497885600 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 16497885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35344862784).

16497885600 is an abundant number, since it is smaller than the sum of its proper divisors (54191839968).

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

16497885600 is a wasteful number, since it uses less digits than its factorization.

16497885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 16497885600 in words is "sixteen billion, four hundred ninety-seven million, eight hundred eighty-five thousand, six hundred".