10635342800 has 120 divisors (see below), whose sum is σ = 27207055512. Its totient is φ = 3981312000.

The previous prime is 10635342791. The next prime is 10635342827. The reversal of 10635342800 is 824353601.

It can be written as a sum of positive squares in 12 ways, for example, as 7871948176 + 2763394624 = 88724^2 + 52568^2 .

It is a super-2 number, since 2×10635342800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1226480 + ... + 1235120.

Almost surely, 2^10635342800 is an apocalyptic number.

10635342800 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 10635342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603527756).

10635342800 is an abundant number, since it is smaller than the sum of its proper divisors (16571712712).

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

10635342800 is a wasteful number, since it uses less digits than its factorization.

10635342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 10635342800 in words is "ten billion, six hundred thirty-five million, three hundred forty-two thousand, eight hundred".