86305417506 has 96 divisors (see below), whose sum is σ = 240657371136. Its totient is φ = 21693852000.

The previous prime is 86305417483. The next prime is 86305417529. The reversal of 86305417506 is 60571450368.

86305417506 is a `hidden beast` number, since 8 + 6 + 30 + 541 + 75 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86305417483) and next prime (86305417529).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961380 + ... + 1047311.

It is an arithmetic number, because the mean of its divisors is an integer number (2506847616).

Almost surely, 2^86305417506 is an apocalyptic number.

86305417506 is an abundant number, since it is smaller than the sum of its proper divisors (154351953630).

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

86305417506 is a wasteful number, since it uses less digits than its factorization.

86305417506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008748 (or 2008745 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 86305417506 in words is "eighty-six billion, three hundred five million, four hundred seventeen thousand, five hundred six".