86681185500 has 384 divisors, whose sum is σ = 314957260800. Its totient is φ = 18036172800.

The previous prime is 86681185469. The next prime is 86681185523. The reversal of 86681185500 is 558118668.

It is a self number, because there is not a number n which added to its sum of digits gives 86681185500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9960151 + ... + 9968849.

It is an arithmetic number, because the mean of its divisors is an integer number (820201200).

Almost surely, 2^86681185500 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 86681185500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157478630400).

86681185500 is an abundant number, since it is smaller than the sum of its proper divisors (228276075300).

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

86681185500 is a wasteful number, since it uses less digits than its factorization.

86681185500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 86681185500 in words is "eighty-six billion, six hundred eighty-one million, one hundred eighty-five thousand, five hundred".