86553549269057 has 16 divisors (see below), whose sum is σ = 99078570399312. Its totient is φ = 74903252828160.

The previous prime is 86553549269039. The next prime is 86553549269081. The reversal of 86553549269057 is 75096294535568.

It is a Cunningham number, because it is equal to 9303416²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 781519649296 + 85772029619761 = 884036^2 + 9261319^2 .

It is a cyclic number.

It is not a de Polignac number, because 86553549269057 - 2¹⁸ = 86553549006913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86553549289057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761898494 + ... + 762012087.

It is an arithmetic number, because the mean of its divisors is an integer number (6192410649957).

Almost surely, 2^{86553549269057} is an apocalyptic number.

It is an amenable number.

86553549269057 is a deficient number, since it is larger than the sum of its proper divisors (12525021130255).

86553549269057 is a wasteful number, since it uses less digits than its factorization.

86553549269057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523910868.

The product of its (nonzero) digits is 2449440000, while the sum is 74.

The spelling of 86553549269057 in words is "eighty-six trillion, five hundred fifty-three billion, five hundred forty-nine million, two hundred sixty-nine thousand, fifty-seven".