85605508800 has 1008 divisors, whose sum is σ = 373165237920. Its totient is φ = 19020718080.

The previous prime is 85605508783. The next prime is 85605508811. The reversal of 85605508800 is 880550658.

85605508800 is a `hidden beast` number, since 8 + 5 + 60 + 5 + 508 + 80 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78321054 + ... + 78322146.

Almost surely, 2^85605508800 is an apocalyptic number.

85605508800 is a gapful number since it is divisible by the number (80) 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 85605508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186582618960).

85605508800 is an abundant number, since it is smaller than the sum of its proper divisors (287559729120).

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

85605508800 is a wasteful number, since it uses less digits than its factorization.

85605508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 85605508800 in words is "eighty-five billion, six hundred five million, five hundred eight thousand, eight hundred".