53575257600 has 960 divisors, whose sum is σ = 213111360000. Its totient is φ = 13138329600.

The previous prime is 53575257577. The next prime is 53575257607. The reversal of 53575257600 is 675257535.

53575257600 is a `hidden beast` number, since 5 + 3 + 5 + 75 + 2 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53575257607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269222301 + ... + 269222499.

It is an arithmetic number, because the mean of its divisors is an integer number (221991000).

Almost surely, 2^53575257600 is an apocalyptic number.

53575257600 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 53575257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680000).

53575257600 is an abundant number, since it is smaller than the sum of its proper divisors (159536102400).

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

53575257600 is a wasteful number, since it uses less digits than its factorization.

53575257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 53575257600 in words is "fifty-three billion, five hundred seventy-five million, two hundred fifty-seven thousand, six hundred".