10053644832 has 672 divisors, whose sum is σ = 38472900480. Its totient is φ = 2508226560.

The previous prime is 10053644771. The next prime is 10053644837. The reversal of 10053644832 is 23844635001.

10053644832 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 644 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10053644837) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52091328 + ... + 52091520.

It is an arithmetic number, because the mean of its divisors is an integer number (57251340).

Almost surely, 2^10053644832 is an apocalyptic number.

10053644832 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 10053644832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19236450240).

10053644832 is an abundant number, since it is smaller than the sum of its proper divisors (28419255648).

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

10053644832 is a wasteful number, since it uses less digits than its factorization.

10053644832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10053644832 in words is "ten billion, fifty-three million, six hundred forty-four thousand, eight hundred thirty-two".