52617880382400 has 1008 divisors, whose sum is σ = 197401165007904. Its totient is φ = 13276136079360.

The previous prime is 52617880382317. The next prime is 52617880382407. The reversal of 52617880382400 is 428308871625.

52617880382400 is a `hidden beast` number, since 5 + 2 + 61 + 78 + 80 + 38 + 2 + 400 = 666.

52617880382400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×52617880382400³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52617880382407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5338118272 + ... + 5338128128.

Almost surely, 2^{52617880382400} is an apocalyptic number.

52617880382400 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 52617880382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98700582503952).

52617880382400 is an abundant number, since it is smaller than the sum of its proper divisors (144783284625504).

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

52617880382400 is a wasteful number, since it uses less digits than its factorization.

52617880382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 52617880382400 in words is "fifty-two trillion, six hundred seventeen billion, eight hundred eighty million, three hundred eighty-two thousand, four hundred".