1066788729792 has 280 divisors, whose sum is σ = 3250175821200. Its totient is φ = 345771970560.

The previous prime is 1066788729763. The next prime is 1066788729841. The reversal of 1066788729792 is 2979278876601.

1066788729792 is a `hidden beast` number, since 106 + 6 + 78 + 87 + 297 + 92 = 666.

It is a super-2 number, since 2×1066788729792² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1066788729792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65242834 + ... + 65259182.

It is an arithmetic number, because the mean of its divisors is an integer number (11607770790).

Almost surely, 2^{1066788729792} is an apocalyptic number.

1066788729792 is a gapful number since it is divisible by the number (12) 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 1066788729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625087910600).

1066788729792 is an abundant number, since it is smaller than the sum of its proper divisors (2183387091408).

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

1066788729792 is a wasteful number, since it uses less digits than its factorization.

1066788729792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721 (or 16702 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 1066788729792 in words is "one trillion, sixty-six billion, seven hundred eighty-eight million, seven hundred twenty-nine thousand, seven hundred ninety-two".