165486639575040 has 416 divisors, whose sum is σ = 605285847505920. Its totient is φ = 37816051433472.

The previous prime is 165486639575021. The next prime is 165486639575063. The reversal of 165486639575040 is 40575936684561.

It is a super-3 number, since 3×165486639575040³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796398101 + ... + 1796490219.

Almost surely, 2^{165486639575040} is an apocalyptic number.

165486639575040 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 165486639575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302642923752960).

165486639575040 is an abundant number, since it is smaller than the sum of its proper divisors (439799207930880).

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

165486639575040 is an equidigital number, since it uses as much as digits as its factorization.

165486639575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96335 (or 96313 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 69.

The spelling of 165486639575040 in words is "one hundred sixty-five trillion, four hundred eighty-six billion, six hundred thirty-nine million, five hundred seventy-five thousand, forty".