85516591104 has 1008 divisors, whose sum is σ = 327176635968. Its totient is φ = 21785739264.

The previous prime is 85516591099. The next prime is 85516591129. The reversal of 85516591104 is 40119561558.

85516591104 is a `hidden beast` number, since 8 + 5 + 51 + 6 + 591 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 85516591104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4500873207 + ... + 4500873225.

It is an arithmetic number, because the mean of its divisors is an integer number (324579996).

Almost surely, 2^85516591104 is an apocalyptic number.

85516591104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85516591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163588317984).

85516591104 is an abundant number, since it is smaller than the sum of its proper divisors (241660044864).

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

85516591104 is an equidigital number, since it uses as much as digits as its factorization.

85516591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 85516591104 in words is "eighty-five billion, five hundred sixteen million, five hundred ninety-one thousand, one hundred four".