855980359375680 has 2688 divisors, whose sum is σ = 3986630645317632. Its totient is φ = 164640909312000.

The previous prime is 855980359375643. The next prime is 855980359375709. The reversal of 855980359375680 is 86573953089558.

855980359375680 is a `hidden beast` number, since 8 + 55 + 98 + 0 + 3 + 59 + 375 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 855980359375680.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 19131878110 + ... + 19131922850.

Almost surely, 2^{855980359375680} is an apocalyptic number.

855980359375680 is a gapful number since it is divisible by the number (80) 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 855980359375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993315322658816).

855980359375680 is an abundant number, since it is smaller than the sum of its proper divisors (3130650285941952).

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

855980359375680 is a wasteful number, since it uses less digits than its factorization.

855980359375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44858 (or 44823 counting only the distinct ones).

The product of its (nonzero) digits is 9797760000, while the sum is 81.

The spelling of 855980359375680 in words is "eight hundred fifty-five trillion, nine hundred eighty billion, three hundred fifty-nine million, three hundred seventy-five thousand, six hundred eighty".