85867202941872 has 320 divisors, whose sum is σ = 244131334594560. Its totient is φ = 25791164467200.

The previous prime is 85867202941787. The next prime is 85867202941909. The reversal of 85867202941872 is 27814920276858.

It is a junction number, because it is equal to n+sod(n) for n = 85867202941797 and 85867202941806.

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, 65001666972 + ... + 65001668292.

It is an arithmetic number, because the mean of its divisors is an integer number (762910420608).

Almost surely, 2^{85867202941872} 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 85867202941872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122065667297280).

85867202941872 is an abundant number, since it is smaller than the sum of its proper divisors (158264131652688).

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

85867202941872 is a wasteful number, since it uses less digits than its factorization.

85867202941872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 85867202941872 in words is "eighty-five trillion, eight hundred sixty-seven billion, two hundred two million, nine hundred forty-one thousand, eight hundred seventy-two".