53338368822552 has 512 divisors, whose sum is σ = 178377790464000. Its totient is φ = 14577216192000.

The previous prime is 53338368822463. The next prime is 53338368822559. The reversal of 53338368822552 is 25522886383335.

53338368822552 is a `hidden beast` number, since 53 + 3 + 3 + 8 + 3 + 6 + 8 + 8 + 22 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53338368822552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53338368822559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218962102 + ... + 219205562.

It is an arithmetic number, because the mean of its divisors is an integer number (348394122000).

Almost surely, 2^{53338368822552} 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 53338368822552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89188895232000).

53338368822552 is an abundant number, since it is smaller than the sum of its proper divisors (125039421641448).

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

53338368822552 is a wasteful number, since it uses less digits than its factorization.

53338368822552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243740 (or 243730 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 53338368822552 in words is "fifty-three trillion, three hundred thirty-eight billion, three hundred sixty-eight million, eight hundred twenty-two thousand, five hundred fifty-two".