86865155104 has 192 divisors, whose sum is σ = 218980419840. Its totient is φ = 32990146560.

The previous prime is 86865155101. The next prime is 86865155137. The reversal of 86865155104 is 40155156868.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86865155101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15282247 + ... + 15287929.

It is an arithmetic number, because the mean of its divisors is an integer number (1140523020).

Almost surely, 2^86865155104 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 86865155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109490209920).

86865155104 is an abundant number, since it is smaller than the sum of its proper divisors (132115264736).

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

86865155104 is a wasteful number, since it uses less digits than its factorization.

86865155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 49.

The spelling of 86865155104 in words is "eighty-six billion, eight hundred sixty-five million, one hundred fifty-five thousand, one hundred four".