165215600006520 has 512 divisors, whose sum is σ = 598291975987200. Its totient is φ = 35654701824000.

The previous prime is 165215600006507. The next prime is 165215600006521. The reversal of 165215600006520 is 25600006512561.

It is a happy number.

It is a super-2 number, since 2×165215600006520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165215600006521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5932110595 + ... + 5932138445.

It is an arithmetic number, because the mean of its divisors is an integer number (1168539015600).

Almost surely, 2^{165215600006520} is an apocalyptic number.

165215600006520 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 165215600006520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299145987993600).

165215600006520 is an abundant number, since it is smaller than the sum of its proper divisors (433076375980680).

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

165215600006520 is a wasteful number, since it uses less digits than its factorization.

165215600006520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29139 (or 29135 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 165215600006520 in words is "one hundred sixty-five trillion, two hundred fifteen billion, six hundred million, six thousand, five hundred twenty".