170042490872100 has 576 divisors, whose sum is σ = 682045946265600. Its totient is φ = 35307484416000.

The previous prime is 170042490872063. The next prime is 170042490872123. The reversal of 170042490872100 is 1278094240071.

170042490872100 is a `hidden beast` number, since 1 + 7 + 0 + 0 + 424 + 9 + 0 + 8 + 7 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282651421 + ... + 283252379.

It is an arithmetic number, because the mean of its divisors is an integer number (1184107545600).

Almost surely, 2^{170042490872100} is an apocalyptic number.

170042490872100 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 170042490872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341022973132800).

170042490872100 is an abundant number, since it is smaller than the sum of its proper divisors (512003455393500).

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

170042490872100 is a wasteful number, since it uses less digits than its factorization.

170042490872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602361 (or 602348 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 170042490872100 in words is "one hundred seventy trillion, forty-two billion, four hundred ninety million, eight hundred seventy-two thousand, one hundred".