1065377311488 has 864 divisors, whose sum is σ = 3914668800000. Its totient is φ = 284335349760.

The previous prime is 1065377311483. The next prime is 1065377311499. The reversal of 1065377311488 is 8841137735601.

1065377311488 is a `hidden beast` number, since 1 + 0 + 65 + 3 + 77 + 31 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1065377311488² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1065377311483) 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 95 ways as a sum of consecutive naturals, for example, 304478763 + ... + 304482261.

Almost surely, 2^{1065377311488} is an apocalyptic number.

1065377311488 is a gapful number since it is divisible by the number (18) 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 1065377311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957334400000).

1065377311488 is an abundant number, since it is smaller than the sum of its proper divisors (2849291488512).

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

1065377311488 is a wasteful number, since it uses less digits than its factorization.

1065377311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1065377311488 in words is "one trillion, sixty-five billion, three hundred seventy-seven million, three hundred eleven thousand, four hundred eighty-eight".