85685994132480 has 1408 divisors, whose sum is σ = 367749727027200. Its totient is φ = 18496315588608.

The previous prime is 85685994132421. The next prime is 85685994132481. The reversal of 85685994132480 is 8423149958658.

85685994132480 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 5 + 9 + 9 + 4 + 132 + 480 = 666.

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 = 85685994132399 and 85685994132408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85685994132481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1758250194 + ... + 1758298926.

Almost surely, 2^{85685994132480} is an apocalyptic number.

85685994132480 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 85685994132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183874863513600).

85685994132480 is an abundant number, since it is smaller than the sum of its proper divisors (282063732894720).

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

85685994132480 is a wasteful number, since it uses less digits than its factorization.

85685994132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48876 (or 48852 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 85685994132480 in words is "eighty-five trillion, six hundred eighty-five billion, nine hundred ninety-four million, one hundred thirty-two thousand, four hundred eighty".