1065162994560 has 1024 divisors, whose sum is σ = 4554455040000. Its totient is φ = 229831188480.

The previous prime is 1065162994549. The next prime is 1065162994589. The reversal of 1065162994560 is 654992615601.

1065162994560 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 629 + 9 + 4 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×1065162994560² (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 a junction number, because it is equal to n+sod(n) for n = 1065162994497 and 1065162994506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 825067515 + ... + 825068805.

It is an arithmetic number, because the mean of its divisors is an integer number (4447710000).

Almost surely, 2^{1065162994560} is an apocalyptic number.

1065162994560 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 1065162994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277227520000).

1065162994560 is an abundant number, since it is smaller than the sum of its proper divisors (3489292045440).

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

1065162994560 is a wasteful number, since it uses less digits than its factorization.

1065162994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1065162994560 in words is "one trillion, sixty-five billion, one hundred sixty-two million, nine hundred ninety-four thousand, five hundred sixty".