53275600 has 120 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 17871360.

The previous prime is 53275589. The next prime is 53275679. The reversal of 53275600 is 657235.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 148221 + ... + 148579.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^53275600 is an apocalyptic number.

53275600 is a gapful number since it is divisible by the number (50) 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 53275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

53275600 is an abundant number, since it is smaller than the sum of its proper divisors (96179120).

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

53275600 is a wasteful number, since it uses less digits than its factorization.

53275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 53275600 is about 7299.0136319917. The cubic root of 53275600 is about 376.2785396467.

It can be divided in two parts, 53 and 275600, that added together give a triangular number (275653 = T₇₄₂).

The spelling of 53275600 in words is "fifty-three million, two hundred seventy-five thousand, six hundred".