165199917460480 has 704 divisors, whose sum is σ = 481023645696000. Its totient is φ = 53177986252800.

The previous prime is 165199917460451. The next prime is 165199917460489. The reversal of 165199917460480 is 84064719991561.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is not an unprimeable number, because it can be changed into a prime (165199917460489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50075753871 + ... + 50075757169.

It is an arithmetic number, because the mean of its divisors is an integer number (683272224000).

Almost surely, 2^{165199917460480} is an apocalyptic number.

165199917460480 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 165199917460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240511822848000).

165199917460480 is an abundant number, since it is smaller than the sum of its proper divisors (315823728235520).

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

165199917460480 is a wasteful number, since it uses less digits than its factorization.

165199917460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 70.

The spelling of 165199917460480 in words is "one hundred sixty-five trillion, one hundred ninety-nine billion, nine hundred seventeen million, four hundred sixty thousand, four hundred eighty".