86005057508552 has 64 divisors (see below), whose sum is σ = 201837162441600. Its totient is φ = 33447301171200.

The previous prime is 86005057508551. The next prime is 86005057508627. The reversal of 86005057508552 is 25580575050068.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (86005057508551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001133449 + ... + 1001219352.

It is an arithmetic number, because the mean of its divisors is an integer number (3153705663150).

Almost surely, 2^{86005057508552} is an apocalyptic number.

It is an amenable number.

86005057508552 is an abundant number, since it is smaller than the sum of its proper divisors (115832104933048).

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

86005057508552 is a wasteful number, since it uses less digits than its factorization.

86005057508552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002352886 (or 2002352882 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 56.

The spelling of 86005057508552 in words is "eighty-six trillion, five billion, fifty-seven million, five hundred eight thousand, five hundred fifty-two".