1617170085540 has 72 divisors (see below), whose sum is σ = 4916056993848. Its totient is φ = 430309877760.

The previous prime is 1617170085491. The next prime is 1617170085593. The reversal of 1617170085540 is 455800717161.

1617170085540 is a `hidden beast` number, since 1 + 6 + 17 + 17 + 0 + 0 + 85 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36457319844 + 1580712765696 = 190938^2 + 1257264^2 .

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 23 ways as a sum of consecutive naturals, for example, 9661357 + ... + 9827316.

It is an arithmetic number, because the mean of its divisors is an integer number (68278569359).

Almost surely, 2^{1617170085540} is an apocalyptic number.

1617170085540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617170085540 is an abundant number, since it is smaller than the sum of its proper divisors (3298886908308).

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

1617170085540 is a wasteful number, since it uses less digits than its factorization.

1617170085540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489149 (or 19489144 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 1617170085540 in words is "one trillion, six hundred seventeen billion, one hundred seventy million, eighty-five thousand, five hundred forty".