170042906880 has 1728 divisors, whose sum is σ = 783455715840. Its totient is φ = 34159656960.

The previous prime is 170042906797. The next prime is 170042906933. The reversal of 170042906880 is 88609240071.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1083075762 + ... + 1083075918.

Almost surely, 2^170042906880 is an apocalyptic number.

170042906880 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 170042906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391727857920).

170042906880 is an abundant number, since it is smaller than the sum of its proper divisors (613412808960).

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

170042906880 is a wasteful number, since it uses less digits than its factorization.

170042906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 170042906880 in words is "one hundred seventy billion, forty-two million, nine hundred six thousand, eight hundred eighty".