10573235200 has 132 divisors (see below), whose sum is σ = 28592201232. Its totient is φ = 3844710400.

The previous prime is 10573235191. The next prime is 10573235203. The reversal of 10573235200 is 253237501.

It is a super-2 number, since 2×10573235200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10573235203) 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 11 ways as a sum of consecutive naturals, for example, 262827 + ... + 300373.

Almost surely, 2^10573235200 is an apocalyptic number.

10573235200 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 10573235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296100616).

10573235200 is an abundant number, since it is smaller than the sum of its proper divisors (18018966032).

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

10573235200 is a wasteful number, since it uses less digits than its factorization.

10573235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37588 (or 37565 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The spelling of 10573235200 in words is "ten billion, five hundred seventy-three million, two hundred thirty-five thousand, two hundred".