53122231959552 has 1824 divisors, whose sum is σ = 194473063879680. Its totient is φ = 14447384985600.

The previous prime is 53122231959539. The next prime is 53122231959571. The reversal of 53122231959552 is 25595913222135.

53122231959552 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 2 + 2 + 31 + 9 + 59 + 552 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870856261602 + ... + 870856261662.

It is an arithmetic number, because the mean of its divisors is an integer number (106619004320).

Almost surely, 2^{53122231959552} 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 53122231959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97236531939840).

53122231959552 is an abundant number, since it is smaller than the sum of its proper divisors (141350831920128).

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

53122231959552 is an frugal number, since it uses more digits than its factorization.

53122231959552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 104 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The spelling of 53122231959552 in words is "fifty-three trillion, one hundred twenty-two billion, two hundred thirty-one million, nine hundred fifty-nine thousand, five hundred fifty-two".