1066608129600 has 840 divisors, whose sum is σ = 4253905602408. Its totient is φ = 260576870400.

The previous prime is 1066608129599. The next prime is 1066608129607. The reversal of 1066608129600 is 69218066601.

It can be written as a sum of positive squares in 12 ways, for example, as 495942709824 + 570665419776 = 704232^2 + 755424^2 .

It is a super-2 number, since 2×1066608129600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066608129607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 230815290 + ... + 230819910.

Almost surely, 2^{1066608129600} is an apocalyptic number.

1066608129600 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 1066608129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126952801204).

1066608129600 is an abundant number, since it is smaller than the sum of its proper divisors (3187297472808).

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

1066608129600 is a wasteful number, since it uses less digits than its factorization.

1066608129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1066608129600 in words is "one trillion, sixty-six billion, six hundred eight million, one hundred twenty-nine thousand, six hundred".