1677909825060 has 96 divisors (see below), whose sum is σ = 5392758524160. Its totient is φ = 381847454208.

The previous prime is 1677909825019. The next prime is 1677909825071. The reversal of 1677909825060 is 605289097761.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1677909824985 and 1677909825003.

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 31 ways as a sum of consecutive naturals, for example, 8626579 + ... + 8818938.

It is an arithmetic number, because the mean of its divisors is an integer number (56174567960).

Almost surely, 2^{1677909825060} is an apocalyptic number.

1677909825060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1677909825060 is an abundant number, since it is smaller than the sum of its proper divisors (3714848699100).

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

1677909825060 is a wasteful number, since it uses less digits than its factorization.

1677909825060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17445765 (or 17445763 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 1677909825060 in words is "one trillion, six hundred seventy-seven billion, nine hundred nine million, eight hundred twenty-five thousand, sixty".