164917587735680 has 512 divisors, whose sum is σ = 457651289088000. Its totient is φ = 56310438739968.

The previous prime is 164917587735647. The next prime is 164917587735683. The reversal of 164917587735680 is 86537785719461.

164917587735680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164917587735683) 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, 2815849757 + ... + 2815908323.

It is an arithmetic number, because the mean of its divisors is an integer number (893850174000).

Almost surely, 2^{164917587735680} is an apocalyptic number.

164917587735680 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 164917587735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228825644544000).

164917587735680 is an abundant number, since it is smaller than the sum of its proper divisors (292733701352320).

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

164917587735680 is a wasteful number, since it uses less digits than its factorization.

164917587735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59044 (or 59032 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 77.

The spelling of 164917587735680 in words is "one hundred sixty-four trillion, nine hundred seventeen billion, five hundred eighty-seven million, seven hundred thirty-five thousand, six hundred eighty".