86267824001 has 2 divisors, whose sum is σ = 86267824002. Its totient is φ = 86267824000.

The previous prime is 86267823911. The next prime is 86267824033. The reversal of 86267824001 is 10042876268.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82998729025 + 3269094976 = 288095^2 + 57176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86267824001 is a prime.

It is not a weakly prime, because it can be changed into another prime (86267824091) 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 as a sum of consecutive naturals, namely, 43133912000 + 43133912001.

It is an arithmetic number, because the mean of its divisors is an integer number (43133912001).

Almost surely, 2^86267824001 is an apocalyptic number.

It is an amenable number.

86267824001 is a deficient number, since it is larger than the sum of its proper divisors (1).

86267824001 is an equidigital number, since it uses as much as digits as its factorization.

86267824001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 86267824001 in words is "eighty-six billion, two hundred sixty-seven million, eight hundred twenty-four thousand, one".