52684727755968 has 3360 divisors, whose sum is σ = 222194723097600. Its totient is φ = 12170983587840.

The previous prime is 52684727755963. The next prime is 52684727755993. The reversal of 52684727755968 is 86955772748625.

52684727755968 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 472 + 7 + 7 + 55 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52684727755963) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 634755756055 + ... + 634755756137.

Almost surely, 2^{52684727755968} 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 52684727755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111097361548800).

52684727755968 is an abundant number, since it is smaller than the sum of its proper divisors (169509995341632).

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

52684727755968 is a wasteful number, since it uses less digits than its factorization.

52684727755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 146 counting only the distinct ones).

The product of its digits is 14224896000, while the sum is 81.

The spelling of 52684727755968 in words is "fifty-two trillion, six hundred eighty-four billion, seven hundred twenty-seven million, seven hundred fifty-five thousand, nine hundred sixty-eight".