10485352800 has 576 divisors, whose sum is σ = 41432973120. Its totient is φ = 2575411200.

The previous prime is 10485352783. The next prime is 10485352807. The reversal of 10485352800 is 825358401.

It is a happy number.

10485352800 is a `hidden beast` number, since 1 + 0 + 48 + 535 + 2 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485352807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22744570 + ... + 22745030.

It is an arithmetic number, because the mean of its divisors is an integer number (71932245).

Almost surely, 2^10485352800 is an apocalyptic number.

10485352800 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 10485352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716486560).

10485352800 is an abundant number, since it is smaller than the sum of its proper divisors (30947620320).

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

10485352800 is an equidigital number, since it uses as much as digits as its factorization.

10485352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10485352800 in words is "ten billion, four hundred eighty-five million, three hundred fifty-two thousand, eight hundred".