165109597309440 has 4800 divisors, whose sum is σ = 764690416680960. Its totient is φ = 33805877575680.

The previous prime is 165109597309439. The next prime is 165109597309469. The reversal of 165109597309440 is 44903795901561.

165109597309440 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 0 + 9 + 597 + 30 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×165109597309440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 281276996827 + ... + 281276997413.

Almost surely, 2^{165109597309440} is an apocalyptic number.

165109597309440 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 165109597309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382345208340480).

165109597309440 is an abundant number, since it is smaller than the sum of its proper divisors (599580819371520).

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

165109597309440 is a wasteful number, since it uses less digits than its factorization.

165109597309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 165109597309440 in words is "one hundred sixty-five trillion, one hundred nine billion, five hundred ninety-seven million, three hundred nine thousand, four hundred forty".