52705577232 has 320 divisors, whose sum is σ = 188969809920. Its totient is φ = 13663987200.

The previous prime is 52705577201. The next prime is 52705577237. The reversal of 52705577232 is 23277550725.

52705577232 is a `hidden beast` number, since 5 + 2 + 70 + 5 + 577 + 2 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (52705577237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22984278 + ... + 22986570.

It is an arithmetic number, because the mean of its divisors is an integer number (590530656).

Almost surely, 2^52705577232 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 52705577232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94484904960).

52705577232 is an abundant number, since it is smaller than the sum of its proper divisors (136264232688).

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

52705577232 is a wasteful number, since it uses less digits than its factorization.

52705577232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 52705577232 in words is "fifty-two billion, seven hundred five million, five hundred seventy-seven thousand, two hundred thirty-two".