165161692556640 has 960 divisors, whose sum is σ = 636868879637760. Its totient is φ = 40064619479040.

The previous prime is 165161692556633. The next prime is 165161692556681. The reversal of 165161692556640 is 46655296161561.

165161692556640 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 6 + 1 + 6 + 9 + 25 + 566 + 40 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7200655252 + ... + 7200678188.

It is an arithmetic number, because the mean of its divisors is an integer number (663405082956).

Almost surely, 2^{165161692556640} is an apocalyptic number.

165161692556640 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 165161692556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318434439818880).

165161692556640 is an abundant number, since it is smaller than the sum of its proper divisors (471707187081120).

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

165161692556640 is a wasteful number, since it uses less digits than its factorization.

165161692556640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23597 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 165161692556640 in words is "one hundred sixty-five trillion, one hundred sixty-one billion, six hundred ninety-two million, five hundred fifty-six thousand, six hundred forty".