86006386410 has 128 divisors (see below), whose sum is σ = 242625590784. Its totient is φ = 19099929600.

The previous prime is 86006386399. The next prime is 86006386439. The reversal of 86006386410 is 1468360068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5687860 + ... + 5702960.

It is an arithmetic number, because the mean of its divisors is an integer number (1895512428).

Almost surely, 2^86006386410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86006386410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121312795392).

86006386410 is an abundant number, since it is smaller than the sum of its proper divisors (156619204374).

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

86006386410 is a wasteful number, since it uses less digits than its factorization.

86006386410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15888.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 86006386410 in words is "eighty-six billion, six million, three hundred eighty-six thousand, four hundred ten".