85486820729351 has 16 divisors (see below), whose sum is σ = 88787109527424. Its totient is φ = 82246364522784.

The previous prime is 85486820729333. The next prime is 85486820729371. The reversal of 85486820729351 is 15392702868458.

It is a cyclic number.

It is not a de Polignac number, because 85486820729351 - 2²² = 85486816535047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85486820729371) 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, 37726376 + ... + 39928098.

It is an arithmetic number, because the mean of its divisors is an integer number (5549194345464).

It is a 2-persistent number, because it is pandigital, and so is 2⋅85486820729351 = 170973641458702, but 3⋅85486820729351 = 256460462188053 is not.

Almost surely, 2^{85486820729351} is an apocalyptic number.

85486820729351 is a deficient number, since it is larger than the sum of its proper divisors (3300288798073).

85486820729351 is a wasteful number, since it uses less digits than its factorization.

85486820729351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215310.

The product of its (nonzero) digits is 232243200, while the sum is 68.

The spelling of 85486820729351 in words is "eighty-five trillion, four hundred eighty-six billion, eight hundred twenty million, seven hundred twenty-nine thousand, three hundred fifty-one".