170141680890 has 96 divisors (see below), whose sum is σ = 493042230720. Its totient is φ = 40454733312.

The previous prime is 170141680883. The next prime is 170141680903. The reversal of 170141680890 is 98086141071.

It is a happy number.

170141680890 is a `hidden beast` number, since 1 + 70 + 1 + 416 + 80 + 8 + 90 = 666.

170141680890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 2897344 + ... + 2955483.

It is an arithmetic number, because the mean of its divisors is an integer number (5135856570).

Almost surely, 2^170141680890 is an apocalyptic number.

170141680890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

170141680890 is an abundant number, since it is smaller than the sum of its proper divisors (322900549830).

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

170141680890 is a wasteful number, since it uses less digits than its factorization.

170141680890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852876 (or 5852873 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 170141680890 in words is "one hundred seventy billion, one hundred forty-one million, six hundred eighty thousand, eight hundred ninety".