165462568560 has 480 divisors, whose sum is σ = 632994485760. Its totient is φ = 39981579264.

The previous prime is 165462568543. The next prime is 165462568567. The reversal of 165462568560 is 65865264561.

165462568560 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 625 + 6 + 8 + 5 + 6 + 0 = 666.

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 = 165462568497 and 165462568506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165462568567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8485542 + ... + 8505018.

It is an arithmetic number, because the mean of its divisors is an integer number (1318738512).

Almost surely, 2^165462568560 is an apocalyptic number.

165462568560 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 165462568560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316497242880).

165462568560 is an abundant number, since it is smaller than the sum of its proper divisors (467531917200).

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

165462568560 is a wasteful number, since it uses less digits than its factorization.

165462568560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19547 (or 19529 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 165462568560 in words is "one hundred sixty-five billion, four hundred sixty-two million, five hundred sixty-eight thousand, five hundred sixty".