85598129479680 has 1792 divisors, whose sum is σ = 333847562895360. Its totient is φ = 20722697109504.

The previous prime is 85598129479657. The next prime is 85598129479691. The reversal of 85598129479680 is 8697492189558.

85598129479680 is a `hidden beast` number, since 8 + 5 + 5 + 9 + 81 + 2 + 9 + 479 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85598129479680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64504995177 + ... + 64504996503.

Almost surely, 2^{85598129479680} is an apocalyptic number.

85598129479680 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 85598129479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923781447680).

85598129479680 is an abundant number, since it is smaller than the sum of its proper divisors (248249433415680).

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

85598129479680 is a wasteful number, since it uses less digits than its factorization.

85598129479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 81.

The spelling of 85598129479680 in words is "eighty-five trillion, five hundred ninety-eight billion, one hundred twenty-nine million, four hundred seventy-nine thousand, six hundred eighty".