16566975360 has 960 divisors, whose sum is σ = 67215519360. Its totient is φ = 3881779200.

The previous prime is 16566975331. The next prime is 16566975401. The reversal of 16566975360 is 6357966561.

16566975360 is a `hidden beast` number, since 1 + 6 + 566 + 9 + 75 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 16566975297 and 16566975306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 271589730 + ... + 271589790.

It is an arithmetic number, because the mean of its divisors is an integer number (70016166).

Almost surely, 2^16566975360 is an apocalyptic number.

16566975360 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 16566975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33607759680).

16566975360 is an abundant number, since it is smaller than the sum of its proper divisors (50648544000).

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

16566975360 is a wasteful number, since it uses less digits than its factorization.

16566975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 16566975360 in words is "sixteen billion, five hundred sixty-six million, nine hundred seventy-five thousand, three hundred sixty".