10085169600 has 672 divisors, whose sum is σ = 42255033600. Its totient is φ = 2314137600.

The previous prime is 10085169583. The next prime is 10085169613. The reversal of 10085169600 is 696158001.

10085169600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9028242 + ... + 9029358.

Almost surely, 2^10085169600 is an apocalyptic number.

10085169600 is a gapful number since it is divisible by the number (10) 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 10085169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127516800).

10085169600 is an abundant number, since it is smaller than the sum of its proper divisors (32169864000).

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

10085169600 is a wasteful number, since it uses less digits than its factorization.

10085169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10085169600 in words is "ten billion, eighty-five million, one hundred sixty-nine thousand, six hundred".