10053544032 has 432 divisors, whose sum is σ = 34944279552. Its totient is φ = 2738292480.

The previous prime is 10053544027. The next prime is 10053544049. The reversal of 10053544032 is 23044535001.

It is a junction number, because it is equal to n+sod(n) for n = 10053543987 and 10053544005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150052863 + ... + 150052929.

It is an arithmetic number, because the mean of its divisors is an integer number (80889536).

Almost surely, 2^10053544032 is an apocalyptic number.

10053544032 is a gapful number since it is divisible by the number (12) 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 10053544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472139776).

10053544032 is an abundant number, since it is smaller than the sum of its proper divisors (24890735520).

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

10053544032 is an frugal number, since it uses more digits than its factorization.

10053544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 10053544032 in words is "ten billion, fifty-three million, five hundred forty-four thousand, thirty-two".