165717420480 has 280 divisors, whose sum is σ = 591060552192. Its totient is φ = 44073289728.

The previous prime is 165717420467. The next prime is 165717420509. The reversal of 165717420480 is 84024717561.

165717420480 is a `hidden beast` number, since 1 + 6 + 571 + 74 + 2 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9919014 + ... + 9935706.

Almost surely, 2^165717420480 is an apocalyptic number.

165717420480 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 165717420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295530276096).

165717420480 is an abundant number, since it is smaller than the sum of its proper divisors (425343131712).

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

165717420480 is a wasteful number, since it uses less digits than its factorization.

165717420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17105 (or 17086 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 165717420480 in words is "one hundred sixty-five billion, seven hundred seventeen million, four hundred twenty thousand, four hundred eighty".