85851879160320 has 1120 divisors, whose sum is σ = 379845379089792. Its totient is φ = 18113767243776.

The previous prime is 85851879160309. The next prime is 85851879160343. The reversal of 85851879160320 is 2306197815858.

85851879160320 is a `hidden beast` number, since 8 + 5 + 8 + 5 + 18 + 7 + 9 + 1 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 169575079 + ... + 170080601.

Almost surely, 2^{85851879160320} is an apocalyptic number.

85851879160320 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 85851879160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189922689544896).

85851879160320 is an abundant number, since it is smaller than the sum of its proper divisors (293993499929472).

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

85851879160320 is an equidigital number, since it uses as much as digits as its factorization.

85851879160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505584 (or 505553 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 85851879160320 in words is "eighty-five trillion, eight hundred fifty-one billion, eight hundred seventy-nine million, one hundred sixty thousand, three hundred twenty".