10485195600 has 480 divisors, whose sum is σ = 39057500160. Its totient is φ = 2377728000.

The previous prime is 10485195593. The next prime is 10485195629. The reversal of 10485195600 is 659158401.

10485195600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24327385 + ... + 24327815.

It is an arithmetic number, because the mean of its divisors is an integer number (81369792).

Almost surely, 2^10485195600 is an apocalyptic number.

10485195600 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 10485195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528750080).

10485195600 is an abundant number, since it is smaller than the sum of its proper divisors (28572304560).

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

10485195600 is a wasteful number, since it uses less digits than its factorization.

10485195600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 10485195600 in words is "ten billion, four hundred eighty-five million, one hundred ninety-five thousand, six hundred".