52818912435744 has 1728 divisors, whose sum is σ = 209861922816000. Its totient is φ = 12213555425280.

The previous prime is 52818912435739. The next prime is 52818912435749. The reversal of 52818912435744 is 44753421981825.

52818912435744 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 8 + 9 + 12 + 43 + 574 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52818912435739) and next prime (52818912435749).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52818912435749) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11006230657 + ... + 11006235455.

It is an arithmetic number, because the mean of its divisors is an integer number (121447872000).

Almost surely, 2^{52818912435744} 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 52818912435744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104930961408000).

52818912435744 is an abundant number, since it is smaller than the sum of its proper divisors (157043010380256).

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

52818912435744 is a wasteful number, since it uses less digits than its factorization.

52818912435744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4897 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 52818912435744 in words is "fifty-two trillion, eight hundred eighteen billion, nine hundred twelve million, four hundred thirty-five thousand, seven hundred forty-four".