53009834506272 has 768 divisors, whose sum is σ = 181279287705600. Its totient is φ = 14943355435008.

The previous prime is 53009834506249. The next prime is 53009834506313. The reversal of 53009834506272 is 27260543890035.

53009834506272 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 9 + 8 + 3 + 4 + 5 + 0 + 627 + 2 = 666.

It is a super-2 number, since 2×53009834506272² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26465218423 + ... + 26465220425.

It is an arithmetic number, because the mean of its divisors is an integer number (236040739200).

Almost surely, 2^{53009834506272} 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 53009834506272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90639643852800).

53009834506272 is an abundant number, since it is smaller than the sum of its proper divisors (128269453199328).

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

53009834506272 is an equidigital number, since it uses as much as digits as its factorization.

53009834506272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 53009834506272 in words is "fifty-three trillion, nine billion, eight hundred thirty-four million, five hundred six thousand, two hundred seventy-two".