52559100368640 has 216 divisors, whose sum is σ = 181914325800480. Its totient is φ = 14010726162432.

The previous prime is 52559100368633. The next prime is 52559100368713. The reversal of 52559100368640 is 4686300195525.

52559100368640 is a `hidden beast` number, since 5 + 2 + 5 + 591 + 0 + 0 + 3 + 6 + 8 + 6 + 40 = 666.

52559100368640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 31311349 + ... + 32947211.

It is an arithmetic number, because the mean of its divisors is an integer number (842195952780).

Almost surely, 2^{52559100368640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52559100368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90957162900240).

52559100368640 is an abundant number, since it is smaller than the sum of its proper divisors (129355225431840).

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

52559100368640 is a wasteful number, since it uses less digits than its factorization.

52559100368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638679 (or 1638662 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 52559100368640 in words is "fifty-two trillion, five hundred fifty-nine billion, one hundred million, three hundred sixty-eight thousand, six hundred forty".