52711680 has 288 divisors, whose sum is σ = 201325824. Its totient is φ = 11501568.

The previous prime is 52711669. The next prime is 52711697. The reversal of 52711680 is 8611725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994534 + ... + 994586.

It is an arithmetic number, because the mean of its divisors is an integer number (699048).

Almost surely, 2^52711680 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 52711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100662912).

52711680 is an abundant number, since it is smaller than the sum of its proper divisors (148614144).

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

52711680 is a wasteful number, since it uses less digits than its factorization.

52711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 52711680 is about 7260.2809862980. The cubic root of 52711680 is about 374.9461967254.

The spelling of 52711680 in words is "fifty-two million, seven hundred eleven thousand, six hundred eighty".