1066566924900 has 216 divisors, whose sum is σ = 3481317743904. Its totient is φ = 283236134400.

The previous prime is 1066566924887. The next prime is 1066566924923. The reversal of 1066566924900 is 94296656601.

1066566924900 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 66 + 92 + 490 + 0 = 666.

It is a super-2 number, since 2×1066566924900² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 5765239 + ... + 5947361.

Almost surely, 2^{1066566924900} is an apocalyptic number.

1066566924900 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 1066566924900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740658871952).

1066566924900 is an abundant number, since it is smaller than the sum of its proper divisors (2414750819004).

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

1066566924900 is a wasteful number, since it uses less digits than its factorization.

1066566924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182393 (or 182374 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1066566924900 in words is "one trillion, sixty-six billion, five hundred sixty-six million, nine hundred twenty-four thousand, nine hundred".