10053671232 has 112 divisors (see below), whose sum is σ = 29259117504. Its totient is φ = 3046489600.

The previous prime is 10053671209. The next prime is 10053671237. The reversal of 10053671232 is 23217635001.

10053671232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10053671232³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10053671232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053671237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235882 + ... + 275222.

Almost surely, 2^10053671232 is an apocalyptic number.

10053671232 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 10053671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629558752).

10053671232 is an abundant number, since it is smaller than the sum of its proper divisors (19205446272).

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

10053671232 is an equidigital number, since it uses as much as digits as its factorization.

10053671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39389 (or 39357 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 10053671232 in words is "ten billion, fifty-three million, six hundred seventy-one thousand, two hundred thirty-two".