16552712800 has 288 divisors, whose sum is σ = 45711449280. Its totient is φ = 5810380800.

The previous prime is 16552712797. The next prime is 16552712807. The reversal of 16552712800 is 821725561.

It is a self number, because there is not a number n which added to its sum of digits gives 16552712800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16552712807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21413214 + ... + 21413986.

It is an arithmetic number, because the mean of its divisors is an integer number (158720310).

Almost surely, 2^16552712800 is an apocalyptic number.

16552712800 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 16552712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855724640).

16552712800 is an abundant number, since it is smaller than the sum of its proper divisors (29158736480).

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

16552712800 is a wasteful number, since it uses less digits than its factorization.

16552712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 16552712800 in words is "sixteen billion, five hundred fifty-two million, seven hundred twelve thousand, eight hundred".