1066039591680 has 2304 divisors, whose sum is σ = 4730097254400. Its totient is φ = 222210293760.

The previous prime is 1066039591637. The next prime is 1066039591693. The reversal of 1066039591680 is 861959306601.

1066039591680 is a `hidden beast` number, since 10 + 6 + 6 + 0 + 39 + 591 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1066039591680² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17476058850 + ... + 17476058910.

It is an arithmetic number, because the mean of its divisors is an integer number (2052993600).

Almost surely, 2^{1066039591680} is an apocalyptic number.

1066039591680 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 1066039591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365048627200).

1066039591680 is an abundant number, since it is smaller than the sum of its proper divisors (3664057662720).

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

1066039591680 is a wasteful number, since it uses less digits than its factorization.

1066039591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1066039591680 in words is "one trillion, sixty-six billion, thirty-nine million, five hundred ninety-one thousand, six hundred eighty".