2966055356160 has 2016 divisors, whose sum is σ = 12802419524160. Its totient is φ = 650132324352.

The previous prime is 2966055356149. The next prime is 2966055356189. The reversal of 2966055356160 is 616535506692.

2966055356160 is a `hidden beast` number, since 2 + 96 + 6 + 0 + 5 + 535 + 6 + 16 + 0 = 666.

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 = 2966055356097 and 2966055356106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3918170502 + ... + 3918171258.

It is an arithmetic number, because the mean of its divisors is an integer number (6350406510).

Almost surely, 2^{2966055356160} is an apocalyptic number.

2966055356160 is a gapful number since it is divisible by the number (20) 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 2966055356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401209762080).

2966055356160 is an abundant number, since it is smaller than the sum of its proper divisors (9836364168000).

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

2966055356160 is a wasteful number, since it uses less digits than its factorization.

2966055356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 2966055356160 in words is "two trillion, nine hundred sixty-six billion, fifty-five million, three hundred fifty-six thousand, one hundred sixty".