164842082795520 has 1440 divisors, whose sum is σ = 639716932939392. Its totient is φ = 40535234445312.

The previous prime is 164842082795491. The next prime is 164842082795581. The reversal of 164842082795520 is 25597280248461.

164842082795520 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 4 + 2 + 0 + 8 + 2 + 79 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×164842082795520³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167692860949 + ... + 167692861931.

Almost surely, 2^{164842082795520} is an apocalyptic number.

164842082795520 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 164842082795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319858466469696).

164842082795520 is an abundant number, since it is smaller than the sum of its proper divisors (474874850143872).

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

164842082795520 is an frugal number, since it uses more digits than its factorization.

164842082795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 164842082795520 in words is "one hundred sixty-four trillion, eight hundred forty-two billion, eighty-two million, seven hundred ninety-five thousand, five hundred twenty".