1065183073920 has 1728 divisors, whose sum is σ = 4613863887360. Its totient is φ = 234205655040.

The previous prime is 1065183073897. The next prime is 1065183073921. The reversal of 1065183073920 is 293703815601.

1065183073920 is a `hidden beast` number, since 10 + 6 + 518 + 30 + 7 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1065183073920² (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 not an unprimeable number, because it can be changed into a prime (1065183073921) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6378341677 + ... + 6378341843.

It is an arithmetic number, because the mean of its divisors is an integer number (2670060120).

Almost surely, 2^{1065183073920} is an apocalyptic number.

1065183073920 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 1065183073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306931943680).

1065183073920 is an abundant number, since it is smaller than the sum of its proper divisors (3548680813440).

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

1065183073920 is an frugal number, since it uses more digits than its factorization.

1065183073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1065183073920 in words is "one trillion, sixty-five billion, one hundred eighty-three million, seventy-three thousand, nine hundred twenty".