16672527442800 has 960 divisors, whose sum is σ = 64453244728320. Its totient is φ = 4076826624000.

The previous prime is 16672527442757. The next prime is 16672527442829. The reversal of 16672527442800 is 824472527661.

16672527442800 is a `hidden beast` number, since 1 + 6 + 6 + 72 + 52 + 7 + 442 + 80 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 9206253895 + ... + 9206255705.

It is an arithmetic number, because the mean of its divisors is an integer number (67138796592).

Almost surely, 2^{16672527442800} is an apocalyptic number.

16672527442800 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 16672527442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32226622364160).

16672527442800 is an abundant number, since it is smaller than the sum of its proper divisors (47780717285520).

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

16672527442800 is a wasteful number, since it uses less digits than its factorization.

16672527442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 16672527442800 in words is "sixteen trillion, six hundred seventy-two billion, five hundred twenty-seven million, four hundred forty-two thousand, eight hundred".