1068506565120 has 480 divisors, whose sum is σ = 3923541837072. Its totient is φ = 267809980416.

The previous prime is 1068506565107. The next prime is 1068506565197. The reversal of 1068506565120 is 215656058601.

1068506565120 is a `hidden beast` number, since 1 + 0 + 6 + 85 + 0 + 6 + 56 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 199315816704 + 869190748416 = 446448^2 + 932304^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1068506565120² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396770494 + ... + 396773186.

Almost surely, 2^{1068506565120} is an apocalyptic number.

1068506565120 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 1068506565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961770918536).

1068506565120 is an abundant number, since it is smaller than the sum of its proper divisors (2855035271952).

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

1068506565120 is a wasteful number, since it uses less digits than its factorization.

1068506565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1068506565120 in words is "one trillion, sixty-eight billion, five hundred six million, five hundred sixty-five thousand, one hundred twenty".