1066613872900 has 81 divisors (see below), whose sum is σ = 2334465292341. Its totient is φ = 423006067680.

The previous prime is 1066613872879. The next prime is 1066613872949. The reversal of 1066613872900 is 92783166601.

The square root of 1066613872900 is 1032770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 383980994244 + 682632878656 = 619662^2 + 826216^2 .

It is a super-2 number, since 2×1066613872900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1435549929 + ... + 1435550671.

Almost surely, 2^{1066613872900} is an apocalyptic number.

1066613872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1066613872900 is the 1032770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066613872900

1066613872900 is an abundant number, since it is smaller than the sum of its proper divisors (1267851419441).

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

1066613872900 is an frugal number, since it uses more digits than its factorization.

1066613872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 1066613872900 by its sum of digits (49), we get a square (52264079772100 = 7229390²).

The spelling of 1066613872900 in words is "one trillion, sixty-six billion, six hundred thirteen million, eight hundred seventy-two thousand, nine hundred".