1065286132800 has 672 divisors, whose sum is σ = 3878936494080. Its totient is φ = 254870323200.

The previous prime is 1065286132783. The next prime is 1065286132817. The reversal of 1065286132800 is 82316825601.

It is an interprime number because it is at equal distance from previous prime (1065286132783) and next prime (1065286132817).

It is a super-2 number, since 2×1065286132800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132874392 + ... + 132882408.

Almost surely, 2^{1065286132800} is an apocalyptic number.

1065286132800 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 1065286132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939468247040).

1065286132800 is an abundant number, since it is smaller than the sum of its proper divisors (2813650361280).

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

1065286132800 is a wasteful number, since it uses less digits than its factorization.

1065286132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8139 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1065286132800 in words is "one trillion, sixty-five billion, two hundred eighty-six million, one hundred thirty-two thousand, eight hundred".