85463171887680 has 336 divisors, whose sum is σ = 294792365537280. Its totient is φ = 22725496406016.

The previous prime is 85463171887663. The next prime is 85463171887759. The reversal of 85463171887680 is 8678817136458.

It is a happy number.

85463171887680 is a `hidden beast` number, since 8 + 5 + 463 + 1 + 7 + 1 + 8 + 87 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85463171887599 and 85463171887608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9021759424 + ... + 9021768896.

Almost surely, 2^{85463171887680} is an apocalyptic number.

85463171887680 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 85463171887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147396182768640).

85463171887680 is an abundant number, since it is smaller than the sum of its proper divisors (209329193649600).

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

85463171887680 is a wasteful number, since it uses less digits than its factorization.

85463171887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18058 (or 18045 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 85463171887680 in words is "eighty-five trillion, four hundred sixty-three billion, one hundred seventy-one million, eight hundred eighty-seven thousand, six hundred eighty".