85867802404880 has 40 divisors (see below), whose sum is σ = 199644625223064. Its totient is φ = 34346779520000.

The previous prime is 85867802404847. The next prime is 85867802404907. The reversal of 85867802404880 is 8840420876858.

85867802404880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16162545424 + 85851639859456 = 127132^2 + 9265616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×85867802404880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85867802404880.

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 7 ways as a sum of consecutive naturals, for example, 2840630 + ... + 13409130.

Almost surely, 2^{85867802404880} is an apocalyptic number.

85867802404880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85867802404880 is an abundant number, since it is smaller than the sum of its proper divisors (113776822818184).

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

85867802404880 is a wasteful number, since it uses less digits than its factorization.

85867802404880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670075 (or 10670069 counting only the distinct ones).

The product of its (nonzero) digits is 220200960, while the sum is 68.

The spelling of 85867802404880 in words is "eighty-five trillion, eight hundred sixty-seven billion, eight hundred two million, four hundred four thousand, eight hundred eighty".