86138375301 has 96 divisors (see below), whose sum is σ = 145694090880. Its totient is φ = 48462336000.

The previous prime is 86138375269. The next prime is 86138375327. The reversal of 86138375301 is 10357383168.

86138375301 is a `hidden beast` number, since 86 + 1 + 3 + 8 + 37 + 530 + 1 = 666.

It is not a de Polignac number, because 86138375301 - 2⁵ = 86138375269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86138375381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53203870 + ... + 53205488.

It is an arithmetic number, because the mean of its divisors is an integer number (1517646780).

Almost surely, 2^86138375301 is an apocalyptic number.

It is an amenable number.

86138375301 is a deficient number, since it is larger than the sum of its proper divisors (59555715579).

86138375301 is a wasteful number, since it uses less digits than its factorization.

86138375301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 86138375301 in words is "eighty-six billion, one hundred thirty-eight million, three hundred seventy-five thousand, three hundred one".