1066529218560 has 224 divisors, whose sum is σ = 3675204943200. Its totient is φ = 262529875968.

The previous prime is 1066529218549. The next prime is 1066529218561. The reversal of 1066529218560 is 658129256601.

It is a happy number.

It is a super-2 number, since 2×1066529218560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066529218561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263616 + ... + 1931264.

It is an arithmetic number, because the mean of its divisors is an integer number (16407164925).

Almost surely, 2^{1066529218560} is an apocalyptic number.

1066529218560 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 1066529218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837602471600).

1066529218560 is an abundant number, since it is smaller than the sum of its proper divisors (2608675724640).

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

1066529218560 is an equidigital number, since it uses as much as digits as its factorization.

1066529218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667696 (or 667672 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 1066529218560 in words is "one trillion, sixty-six billion, five hundred twenty-nine million, two hundred eighteen thousand, five hundred sixty".