16659442800 has 1920 divisors, whose sum is σ = 84314603520. Its totient is φ = 3010867200.

The previous prime is 16659442771. The next prime is 16659442837. The reversal of 16659442800 is 824495661.

16659442800 is a `hidden beast` number, since 16 + 6 + 594 + 42 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 248648367 + ... + 248648433.

It is an arithmetic number, because the mean of its divisors is an integer number (43913856).

Almost surely, 2^16659442800 is an apocalyptic number.

16659442800 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 16659442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42157301760).

16659442800 is an abundant number, since it is smaller than the sum of its proper divisors (67655160720).

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

16659442800 is a wasteful number, since it uses less digits than its factorization.

16659442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16659442800 in words is "sixteen billion, six hundred fifty-nine million, four hundred forty-two thousand, eight hundred".