52543678118400 has 4320 divisors, whose sum is σ = 243641084544000. Its totient is φ = 10730502881280.

The previous prime is 52543678118377. The next prime is 52543678118467. The reversal of 52543678118400 is 481187634525.

It is a happy number.

52543678118400 is a `hidden beast` number, since 5 + 2 + 54 + 3 + 6 + 78 + 118 + 400 = 666.

It is a super-2 number, since 2×52543678118400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 219848025481 + ... + 219848025719.

It is an arithmetic number, because the mean of its divisors is an integer number (56398399200).

Almost surely, 2^{52543678118400} is an apocalyptic number.

52543678118400 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 52543678118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121820542272000).

52543678118400 is an abundant number, since it is smaller than the sum of its proper divisors (191097406425600).

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

52543678118400 is a wasteful number, since it uses less digits than its factorization.

52543678118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 52543678118400 in words is "fifty-two trillion, five hundred forty-three billion, six hundred seventy-eight million, one hundred eighteen thousand, four hundred".