85496827981320 has 384 divisors, whose sum is σ = 319746459052800. Its totient is φ = 19408018065408.

The previous prime is 85496827981319. The next prime is 85496827981337. The reversal of 85496827981320 is 2318972869458.

85496827981320 is a `hidden beast` number, since 8 + 5 + 496 + 8 + 27 + 9 + 81 + 32 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214689027 + ... + 215086893.

It is an arithmetic number, because the mean of its divisors is an integer number (832673070450).

It is a 1-persistent number, because it is pandigital, but 2⋅85496827981320 = 170993655962640 is not.

Almost surely, 2^{85496827981320} 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 85496827981320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159873229526400).

85496827981320 is an abundant number, since it is smaller than the sum of its proper divisors (234249631071480).

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

85496827981320 is a wasteful number, since it uses less digits than its factorization.

85496827981320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398477 (or 398470 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 85496827981320 in words is "eighty-five trillion, four hundred ninety-six billion, eight hundred twenty-seven million, nine hundred eighty-one thousand, three hundred twenty".