52688141064 has 256 divisors, whose sum is σ = 167636448000. Its totient is φ = 15198658560.

The previous prime is 52688141059. The next prime is 52688141071. The reversal of 52688141064 is 46014188625.

It is a happy number.

52688141064 is a `hidden beast` number, since 526 + 8 + 8 + 14 + 106 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5170054 + ... + 5180234.

It is an arithmetic number, because the mean of its divisors is an integer number (654829875).

Almost surely, 2^52688141064 is an apocalyptic number.

52688141064 is a gapful number since it is divisible by the number (54) 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 52688141064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83818224000).

52688141064 is an abundant number, since it is smaller than the sum of its proper divisors (114948306936).

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

52688141064 is a wasteful number, since it uses less digits than its factorization.

52688141064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 52688141064 in words is "fifty-two billion, six hundred eighty-eight million, one hundred forty-one thousand, sixty-four".