53188960 has 96 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 18900480.

The previous prime is 53188957. The next prime is 53189009. The reversal of 53188960 is 6988135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82399 + ... + 83041.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 2^53188960 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 53188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

53188960 is an abundant number, since it is smaller than the sum of its proper divisors (87027872).

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

53188960 is a wasteful number, since it uses less digits than its factorization.

53188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 53188960 is about 7293.0761685314. The cubic root of 53188960 is about 376.0744533413.

The spelling of 53188960 in words is "fifty-three million, one hundred eighty-eight thousand, nine hundred sixty".