1065111328512 has 1296 divisors, whose sum is σ = 4088703790080. Its totient is φ = 263363788800.

The previous prime is 1065111328507. The next prime is 1065111328553. The reversal of 1065111328512 is 2158231115601.

1065111328512 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 1 + 132 + 8 + 512 = 666.

It is a super-2 number, since 2×1065111328512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2810319939 + ... + 2810320317.

Almost surely, 2^{1065111328512} is an apocalyptic number.

1065111328512 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 1065111328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044351895040).

1065111328512 is an abundant number, since it is smaller than the sum of its proper divisors (3023592461568).

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

1065111328512 is a wasteful number, since it uses less digits than its factorization.

1065111328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1065111328512 in words is "one trillion, sixty-five billion, one hundred eleven million, three hundred twenty-eight thousand, five hundred twelve".