85815687104 has 112 divisors (see below), whose sum is σ = 196173766656. Its totient is φ = 36484992000.

The previous prime is 85815687091. The next prime is 85815687119. The reversal of 85815687104 is 40178651858.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74556929 + ... + 74558079.

It is an arithmetic number, because the mean of its divisors is an integer number (1751551488).

Almost surely, 2^85815687104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85815687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98086883328).

85815687104 is an abundant number, since it is smaller than the sum of its proper divisors (110358079552).

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

85815687104 is a wasteful number, since it uses less digits than its factorization.

85815687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 53.

The spelling of 85815687104 in words is "eighty-five billion, eight hundred fifteen million, six hundred eighty-seven thousand, one hundred four".