2166555790080 has 1152 divisors, whose sum is σ = 8949038837760. Its totient is φ = 490521231360.

The previous prime is 2166555789917. The next prime is 2166555790099. The reversal of 2166555790080 is 800975556612.

2166555790080 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 5 + 557 + 9 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 2166555789999 and 2166555790026.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 885391417 + ... + 885393863.

It is an arithmetic number, because the mean of its divisors is an integer number (7768262880).

Almost surely, 2^{2166555790080} is an apocalyptic number.

2166555790080 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 2166555790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474519418880).

2166555790080 is an abundant number, since it is smaller than the sum of its proper divisors (6782483047680).

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

2166555790080 is a wasteful number, since it uses less digits than its factorization.

2166555790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 2166555790080 in words is "two trillion, one hundred sixty-six billion, five hundred fifty-five million, seven hundred ninety thousand, eighty".