162680398003200 has 3168 divisors, whose sum is σ = 699018041981952. Its totient is φ = 32637557145600.

The previous prime is 162680398003199. The next prime is 162680398003229. The reversal of 162680398003200 is 2300893086261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 162680398003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 618556646269 + ... + 618556646531.

It is an arithmetic number, because the mean of its divisors is an integer number (220649634464).

Almost surely, 2^{162680398003200} is an apocalyptic number.

162680398003200 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 162680398003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349509020990976).

162680398003200 is an abundant number, since it is smaller than the sum of its proper divisors (536337643978752).

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

162680398003200 is a wasteful number, since it uses less digits than its factorization.

162680398003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 162680398003200 in words is "one hundred sixty-two trillion, six hundred eighty billion, three hundred ninety-eight million, three thousand, two hundred".