16616872591200 has 1080 divisors, whose sum is σ = 74638975190472. Its totient is φ = 3574710558720.

The previous prime is 16616872591171. The next prime is 16616872591219. The reversal of 16616872591200 is 219527861661.

It is a happy number.

16616872591200 is a `hidden beast` number, since 1 + 6 + 616 + 8 + 7 + 2 + 5 + 9 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×16616872591200³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53824479 + ... + 54132321.

Almost surely, 2^{16616872591200} is an apocalyptic number.

16616872591200 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 16616872591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319487595236).

16616872591200 is an abundant number, since it is smaller than the sum of its proper divisors (58022102599272).

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

16616872591200 is a wasteful number, since it uses less digits than its factorization.

16616872591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307906 (or 307877 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 16616872591200 in words is "sixteen trillion, six hundred sixteen billion, eight hundred seventy-two million, five hundred ninety-one thousand, two hundred".