1671278506560 has 672 divisors, whose sum is σ = 6267291942912. Its totient is φ = 406332702720.

The previous prime is 1671278506489. The next prime is 1671278506603. The reversal of 1671278506560 is 656058721761.

It is a happy number.

1671278506560 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 2 + 78 + 5 + 0 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1671278506497 and 1671278506506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288571832 + ... + 1288573128.

It is an arithmetic number, because the mean of its divisors is an integer number (9326327296).

Almost surely, 2^{1671278506560} is an apocalyptic number.

1671278506560 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 1671278506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133645971456).

1671278506560 is an abundant number, since it is smaller than the sum of its proper divisors (4596013436352).

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

1671278506560 is a wasteful number, since it uses less digits than its factorization.

1671278506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1671278506560 in words is "one trillion, six hundred seventy-one billion, two hundred seventy-eight million, five hundred six thousand, five hundred sixty".