52818009648768 has 2048 divisors, whose sum is σ = 204959354880000. Its totient is φ = 13080043192320.

The previous prime is 52818009648763. The next prime is 52818009648827. The reversal of 52818009648768 is 86784690081825.

52818009648768 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 80 + 0 + 9 + 6 + 487 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52818009648696 and 52818009648705.

It is not an unprimeable number, because it can be changed into a prime (52818009648763) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 194900404473 + ... + 194900404743.

It is an arithmetic number, because the mean of its divisors is an integer number (100077810000).

Almost surely, 2^{52818009648768} 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 52818009648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102479677440000).

52818009648768 is an abundant number, since it is smaller than the sum of its proper divisors (152141345231232).

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

52818009648768 is a wasteful number, since it uses less digits than its factorization.

52818009648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 52818009648768 in words is "fifty-two trillion, eight hundred eighteen billion, nine million, six hundred forty-eight thousand, seven hundred sixty-eight".