10053884200 has 192 divisors, whose sum is σ = 26377776000. Its totient is φ = 3544611840.

The previous prime is 10053884189. The next prime is 10053884207. The reversal of 10053884200 is 248835001.

It is not an unprimeable number, because it can be changed into a prime (10053884207) 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 47 ways as a sum of consecutive naturals, for example, 3232246 + ... + 3235354.

It is an arithmetic number, because the mean of its divisors is an integer number (137384250).

Almost surely, 2^10053884200 is an apocalyptic number.

10053884200 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 10053884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188888000).

10053884200 is an abundant number, since it is smaller than the sum of its proper divisors (16323891800).

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

10053884200 is a wasteful number, since it uses less digits than its factorization.

10053884200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 10053884200 in words is "ten billion, fifty-three million, eight hundred eighty-four thousand, two hundred".