86406615015840 has 144 divisors (see below), whose sum is σ = 336985798601088. Its totient is φ = 19750083429888.

The previous prime is 86406615015827. The next prime is 86406615015857. The reversal of 86406615015840 is 4851051660468.

It is a happy number.

86406615015840 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 6 + 6 + 1 + 50 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×86406615015840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4286032332 + ... + 4286052491.

It is an arithmetic number, because the mean of its divisors is an integer number (2340179156952).

Almost surely, 2^{86406615015840} is an apocalyptic number.

86406615015840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86406615015840 is an abundant number, since it is smaller than the sum of its proper divisors (250579183585248).

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

86406615015840 is a wasteful number, since it uses less digits than its factorization.

86406615015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572084851 (or 8572084840 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 86406615015840 in words is "eighty-six trillion, four hundred six billion, six hundred fifteen million, fifteen thousand, eight hundred forty".