52485321420800 has 312 divisors, whose sum is σ = 133050768777216. Its totient is φ = 20526739947520.

The previous prime is 52485321420781. The next prime is 52485321420809. The reversal of 52485321420800 is 802412358425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52485321420809) 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 23 ways as a sum of consecutive naturals, for example, 5308513457 + ... + 5308523343.

Almost surely, 2^{52485321420800} is an apocalyptic number.

52485321420800 is a gapful number since it is divisible by the number (50) 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 52485321420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66525384388608).

52485321420800 is an abundant number, since it is smaller than the sum of its proper divisors (80565447356416).

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

52485321420800 is a wasteful number, since it uses less digits than its factorization.

52485321420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11071 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 52485321420800 in words is "fifty-two trillion, four hundred eighty-five billion, three hundred twenty-one million, four hundred twenty thousand, eight hundred".