885165465600 has 2016 divisors, whose sum is σ = 3773480138064. Its totient is φ = 196293427200.

The previous prime is 885165465571. The next prime is 885165465629. The reversal of 885165465600 is 6564561588.

885165465600 is a `hidden beast` number, since 8 + 8 + 516 + 5 + 4 + 65 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (885165465571) and next prime (885165465629).

It can be written as a sum of positive squares in 24 ways, for example, as 108172578816 + 776992886784 = 328896^2 + 881472^2 .

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, 16701235174 + ... + 16701235226.

Almost surely, 2^885165465600 is an apocalyptic number.

885165465600 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 885165465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886740069032).

885165465600 is an abundant number, since it is smaller than the sum of its proper divisors (2888314672464).

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

885165465600 is a wasteful number, since it uses less digits than its factorization.

885165465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 885165465600 in words is "eight hundred eighty-five billion, one hundred sixty-five million, four hundred sixty-five thousand, six hundred".