1066204688640 has 1152 divisors, whose sum is σ = 4340200166400. Its totient is φ = 221615751168.

The previous prime is 1066204688609. The next prime is 1066204688657. The reversal of 1066204688640 is 468864026601.

It is a super-2 number, since 2×1066204688640² (a number of 25 digits) contains 22 as substring.

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, 1249946454 + ... + 1249947306.

Almost surely, 2^{1066204688640} is an apocalyptic number.

1066204688640 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 1066204688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170100083200).

1066204688640 is an abundant number, since it is smaller than the sum of its proper divisors (3273995477760).

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

1066204688640 is an equidigital number, since it uses as much as digits as its factorization.

1066204688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 1066204688640 in words is "one trillion, sixty-six billion, two hundred four million, six hundred eighty-eight thousand, six hundred forty".