86768948601 has 16 divisors (see below), whose sum is σ = 129819333120. Its totient is φ = 57273231600.

The previous prime is 86768948597. The next prime is 86768948639. The reversal of 86768948601 is 10684986768.

86768948601 is a `hidden beast` number, since 8 + 6 + 76 + 89 + 486 + 0 + 1 = 666.

It is not a de Polignac number, because 86768948601 - 2² = 86768948597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86761948601) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15906505 + ... + 15911958.

It is an arithmetic number, because the mean of its divisors is an integer number (8113708320).

Almost surely, 2^86768948601 is an apocalyptic number.

It is an amenable number.

86768948601 is a deficient number, since it is larger than the sum of its proper divisors (43050384519).

86768948601 is a wasteful number, since it uses less digits than its factorization.

86768948601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31818573 (or 31818567 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 86768948601 in words is "eighty-six billion, seven hundred sixty-eight million, nine hundred forty-eight thousand, six hundred one".