10353205600 has 36 divisors (see below), whose sum is σ = 25274765124. Its totient is φ = 4141281920.

The previous prime is 10353205591. The next prime is 10353205607. The reversal of 10353205600 is 650235301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10353205607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6469954 + ... + 6471553.

It is an arithmetic number, because the mean of its divisors is an integer number (702076809).

Almost surely, 2^10353205600 is an apocalyptic number.

10353205600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10353205600 is an abundant number, since it is smaller than the sum of its proper divisors (14921559524).

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

10353205600 is a wasteful number, since it uses less digits than its factorization.

10353205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12941527 (or 12941514 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 10353205600 in words is "ten billion, three hundred fifty-three million, two hundred five thousand, six hundred".