53006627232 has 192 divisors, whose sum is σ = 176289644160. Its totient is φ = 15350280192.

The previous prime is 53006627227. The next prime is 53006627251. The reversal of 53006627232 is 23272660035.

It is a happy number.

53006627232 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 6 + 627 + 23 + 2 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 52143 + ... + 329745.

It is an arithmetic number, because the mean of its divisors is an integer number (918175230).

Almost surely, 2^53006627232 is an apocalyptic number.

53006627232 is a gapful number since it is divisible by the number (52) 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 53006627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88144822080).

53006627232 is an abundant number, since it is smaller than the sum of its proper divisors (123283016928).

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

53006627232 is a wasteful number, since it uses less digits than its factorization.

53006627232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277652 (or 277638 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 53006627232 in words is "fifty-three billion, six million, six hundred twenty-seven thousand, two hundred thirty-two".