53127141724272 has 240 divisors, whose sum is σ = 174248331321600. Its totient is φ = 13792761722880.

The previous prime is 53127141724249. The next prime is 53127141724273. The reversal of 53127141724272 is 27242714172135.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53127141724273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54599229 + ... + 55563747.

It is an arithmetic number, because the mean of its divisors is an integer number (726034713840).

Almost surely, 2^{53127141724272} 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 53127141724272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87124165660800).

53127141724272 is an abundant number, since it is smaller than the sum of its proper divisors (121121189597328).

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

53127141724272 is a wasteful number, since it uses less digits than its factorization.

53127141724272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966684 (or 966671 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The spelling of 53127141724272 in words is "fifty-three trillion, one hundred twenty-seven billion, one hundred forty-one million, seven hundred twenty-four thousand, two hundred seventy-two".