53175632412672 has 1920 divisors, whose sum is σ = 209870527426560. Its totient is φ = 12881756160000.

The previous prime is 53175632412601. The next prime is 53175632412673. The reversal of 53175632412672 is 27621423657135.

53175632412672 is a `hidden beast` number, since 5 + 3 + 1 + 7 + 56 + 324 + 1 + 267 + 2 = 666.

It is a super-2 number, since 2×53175632412672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53175632412673) 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 127 ways as a sum of consecutive naturals, for example, 75856821922 + ... + 75856822622.

It is an arithmetic number, because the mean of its divisors is an integer number (109307566368).

Almost surely, 2^{53175632412672} 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 53175632412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104935263713280).

53175632412672 is an abundant number, since it is smaller than the sum of its proper divisors (156694895013888).

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

53175632412672 is a wasteful number, since it uses less digits than its factorization.

53175632412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 872 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 53175632412672 in words is "fifty-three trillion, one hundred seventy-five billion, six hundred thirty-two million, four hundred twelve thousand, six hundred seventy-two".