170961142800 has 120 divisors (see below), whose sum is σ = 625880633536. Its totient is φ = 39076830720.

The previous prime is 170961142789. The next prime is 170961142801. The reversal of 170961142800 is 8241169071.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (170961142801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10167859 + ... + 10184658.

Almost surely, 2^170961142800 is an apocalyptic number.

170961142800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

170961142800 is an abundant number, since it is smaller than the sum of its proper divisors (454919490736).

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

170961142800 is a wasteful number, since it uses less digits than its factorization.

170961142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352545 (or 20352534 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 170961142800 in words is "one hundred seventy billion, nine hundred sixty-one million, one hundred forty-two thousand, eight hundred".