52647652512 has 864 divisors, whose sum is σ = 204965087040. Its totient is φ = 13028843520.

The previous prime is 52647652507. The next prime is 52647652523. The reversal of 52647652512 is 21525674625.

52647652512 is a `hidden beast` number, since 5 + 2 + 64 + 76 + 5 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159056187 + ... + 159056517.

It is an arithmetic number, because the mean of its divisors is an integer number (237228110).

Almost surely, 2^52647652512 is an apocalyptic number.

52647652512 is a gapful number since it is divisible by the number (52) 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 52647652512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102482543520).

52647652512 is an abundant number, since it is smaller than the sum of its proper divisors (152317434528).

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

52647652512 is a wasteful number, since it uses less digits than its factorization.

52647652512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 373 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 52647652512 in words is "fifty-two billion, six hundred forty-seven million, six hundred fifty-two thousand, five hundred twelve".