10053632304 has 480 divisors, whose sum is σ = 32832273600. Its totient is φ = 2937876480.

The previous prime is 10053632299. The next prime is 10053632311. The reversal of 10053632304 is 40323635001.

It is a happy number.

10053632304 is a `hidden beast` number, since 100 + 536 + 3 + 23 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245210524 + ... + 245210564.

It is an arithmetic number, because the mean of its divisors is an integer number (68400570).

Almost surely, 2^10053632304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053632304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416136800).

10053632304 is an abundant number, since it is smaller than the sum of its proper divisors (22778641296).

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

10053632304 is a wasteful number, since it uses less digits than its factorization.

10053632304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 10053632304 in words is "ten billion, fifty-three million, six hundred thirty-two thousand, three hundred four".