52541729582400 has 504 divisors, whose sum is σ = 188162155958400. Its totient is φ = 13905019514880.

The previous prime is 52541729582369. The next prime is 52541729582417. The reversal of 52541729582400 is 428592714525.

52541729582400 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 1 + 72 + 95 + 82 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2624058789 + ... + 2624078811.

Almost surely, 2^{52541729582400} is an apocalyptic number.

52541729582400 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 52541729582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94081077979200).

52541729582400 is an abundant number, since it is smaller than the sum of its proper divisors (135620426376000).

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

52541729582400 is a wasteful number, since it uses less digits than its factorization.

52541729582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21423 (or 21405 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 52541729582400 in words is "fifty-two trillion, five hundred forty-one billion, seven hundred twenty-nine million, five hundred eighty-two thousand, four hundred".