52411680 has 144 divisors (see below), whose sum is σ = 189464184. Its totient is φ = 13148160.

The previous prime is 52411673. The next prime is 52411693. The reversal of 52411680 is 8611425.

It can be written as a sum of positive squares in 4 ways, for example, as 52359696 + 51984 = 7236^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23410 + ... + 25550.

Almost surely, 2^52411680 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 52411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94732092).

52411680 is an abundant number, since it is smaller than the sum of its proper divisors (137052504).

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

52411680 is a wasteful number, since it uses less digits than its factorization.

52411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52411680 is about 7239.5911486768. The cubic root of 52411680 is about 374.2335277883.

The spelling of 52411680 in words is "fifty-two million, four hundred eleven thousand, six hundred eighty".