1675873859560 has 256 divisors, whose sum is σ = 3975068079360. Its totient is φ = 635432878080.

The previous prime is 1675873859551. The next prime is 1675873859587. The reversal of 1675873859560 is 659583785761.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1675873859560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1533278374 + ... + 1533279466.

It is an arithmetic number, because the mean of its divisors is an integer number (15527609685).

Almost surely, 2^{1675873859560} is an apocalyptic number.

1675873859560 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 1675873859560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987534039680).

1675873859560 is an abundant number, since it is smaller than the sum of its proper divisors (2299194219800).

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

1675873859560 is a wasteful number, since it uses less digits than its factorization.

1675873859560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 70.

The spelling of 1675873859560 in words is "one trillion, six hundred seventy-five billion, eight hundred seventy-three million, eight hundred fifty-nine thousand, five hundred sixty".