164359498560 has 448 divisors, whose sum is σ = 545065500672. Its totient is φ = 41932283904.

The previous prime is 164359498493. The next prime is 164359498577. The reversal of 164359498560 is 65894953461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 164359498494 and 164359498503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560953774 + ... + 560954066.

It is an arithmetic number, because the mean of its divisors is an integer number (1216664064).

Almost surely, 2^164359498560 is an apocalyptic number.

164359498560 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 164359498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272532750336).

164359498560 is an abundant number, since it is smaller than the sum of its proper divisors (380706002112).

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

164359498560 is a wasteful number, since it uses less digits than its factorization.

164359498560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 164359498560 in words is "one hundred sixty-four billion, three hundred fifty-nine million, four hundred ninety-eight thousand, five hundred sixty".