86877171281000 has 256 divisors, whose sum is σ = 217310713401600. Its totient is φ = 32414046336000.

The previous prime is 86877171280987. The next prime is 86877171281011. The reversal of 86877171281000 is 18217177868.

It is a super-2 number, since 2×86877171281000² (a number of 29 digits) contains 22 as substring.

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, 461966990 + ... + 462155010.

It is an arithmetic number, because the mean of its divisors is an integer number (848869974225).

Almost surely, 2^{86877171281000} 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 86877171281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108655356700800).

86877171281000 is an abundant number, since it is smaller than the sum of its proper divisors (130433542120600).

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

86877171281000 is a wasteful number, since it uses less digits than its factorization.

86877171281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188437 (or 188423 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 56.

The spelling of 86877171281000 in words is "eighty-six trillion, eight hundred seventy-seven billion, one hundred seventy-one million, two hundred eighty-one thousand".