53482606553376 has 1152 divisors, whose sum is σ = 217619839696896. Its totient is φ = 12004443095040.

The previous prime is 53482606553317. The next prime is 53482606553393. The reversal of 53482606553376 is 67335560628435.

53482606553376 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 2 + 6 + 0 + 6 + 553 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 311553520 + ... + 311725136.

It is an arithmetic number, because the mean of its divisors is an integer number (188906110848).

Almost surely, 2^{53482606553376} is an apocalyptic number.

53482606553376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53482606553376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108809919848448).

53482606553376 is an abundant number, since it is smaller than the sum of its proper divisors (164137233143520).

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

53482606553376 is a wasteful number, since it uses less digits than its factorization.

53482606553376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171734 (or 171723 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 63.

The spelling of 53482606553376 in words is "fifty-three trillion, four hundred eighty-two billion, six hundred six million, five hundred fifty-three thousand, three hundred seventy-six".