86598772305441 has 32 divisors (see below), whose sum is σ = 133063277575680. Its totient is φ = 49544837193600.

The previous prime is 86598772305407. The next prime is 86598772305449. The reversal of 86598772305441 is 14450327789568.

It is not a de Polignac number, because 86598772305441 - 2¹⁰ = 86598772304417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86598772305449) 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 31 ways as a sum of consecutive naturals, for example, 245581935 + ... + 245934308.

It is an arithmetic number, because the mean of its divisors is an integer number (4158227424240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅86598772305441 = 173197544610882, but 3⋅86598772305441 = 259796316916323 is not.

Almost surely, 2^{86598772305441} is an apocalyptic number.

It is an amenable number.

86598772305441 is a deficient number, since it is larger than the sum of its proper divisors (46464505270239).

86598772305441 is a wasteful number, since it uses less digits than its factorization.

86598772305441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491516557.

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 86598772305441 in words is "eighty-six trillion, five hundred ninety-eight billion, seven hundred seventy-two million, three hundred five thousand, four hundred forty-one".