52393352860800 has 1728 divisors, whose sum is σ = 232809151760640. Its totient is φ = 11589051801600.

The previous prime is 52393352860789. The next prime is 52393352860811. The reversal of 52393352860800 is 806825339325.

52393352860800 is a `hidden beast` number, since 5 + 2 + 3 + 9 + 3 + 3 + 5 + 28 + 608 + 0 + 0 = 666.

52393352860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52393352860789) and next prime (52393352860811).

It is a tau number, because it is divible by the number of its divisors (1728).

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 (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1181152222 + ... + 1181196578.

It is an arithmetic number, because the mean of its divisors is an integer number (134727518380).

Almost surely, 2^{52393352860800} is an apocalyptic number.

52393352860800 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 52393352860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116404575880320).

52393352860800 is an abundant number, since it is smaller than the sum of its proper divisors (180415798899840).

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

52393352860800 is a wasteful number, since it uses less digits than its factorization.

52393352860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44441 (or 44405 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 52393352860800 in words is "fifty-two trillion, three hundred ninety-three billion, three hundred fifty-two million, eight hundred sixty thousand, eight hundred".