52263438259200 has 4752 divisors, whose sum is σ = 234959799181824. Its totient is φ = 10166678323200.

The previous prime is 52263438259187. The next prime is 52263438259211. The reversal of 52263438259200 is 295283436225.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 715937510364 + ... + 715937510436.

Almost surely, 2^{52263438259200} is an apocalyptic number.

52263438259200 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 52263438259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117479899590912).

52263438259200 is an abundant number, since it is smaller than the sum of its proper divisors (182696360922624).

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

52263438259200 is a wasteful number, since it uses less digits than its factorization.

52263438259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 52263438259200 in words is "fifty-two trillion, two hundred sixty-three billion, four hundred thirty-eight million, two hundred fifty-nine thousand, two hundred".