85232849273856 has 704 divisors, whose sum is σ = 263758013376000. Its totient is φ = 27155732889600.

The previous prime is 85232849273837. The next prime is 85232849273863. The reversal of 85232849273856 is 65837294823258.

85232849273856 is a `hidden beast` number, since 8 + 5 + 23 + 284 + 9 + 273 + 8 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40800788460 + ... + 40800790548.

It is an arithmetic number, because the mean of its divisors is an integer number (374656269000).

Almost surely, 2^{85232849273856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85232849273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131879006688000).

85232849273856 is an abundant number, since it is smaller than the sum of its proper divisors (178525164102144).

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

85232849273856 is a wasteful number, since it uses less digits than its factorization.

85232849273856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2611 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 85232849273856 in words is "eighty-five trillion, two hundred thirty-two billion, eight hundred forty-nine million, two hundred seventy-three thousand, eight hundred fifty-six".