86079508208001 has 96 divisors (see below), whose sum is σ = 157732730538240. Its totient is φ = 44306378645760.

The previous prime is 86079508207969. The next prime is 86079508208003. The reversal of 86079508208001 is 10080280597068.

86079508208001 is a `hidden beast` number, since 8 + 60 + 79 + 508 + 2 + 0 + 8 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 86079508208001 - 2⁵ = 86079508207969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86079508208003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4431021 + ... + 13848933.

It is an arithmetic number, because the mean of its divisors is an integer number (1643049276440).

Almost surely, 2^{86079508208001} is an apocalyptic number.

It is an amenable number.

86079508208001 is a deficient number, since it is larger than the sum of its proper divisors (71653222330239).

86079508208001 is a wasteful number, since it uses less digits than its factorization.

86079508208001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418068 (or 9418043 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 86079508208001 in words is "eighty-six trillion, seventy-nine billion, five hundred eight million, two hundred eight thousand, one".