53128485273600 has 2160 divisors, whose sum is σ = 222020910752256. Its totient is φ = 12442927104000.

The previous prime is 53128485273529. The next prime is 53128485273607. The reversal of 53128485273600 is 637258482135.

53128485273600 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 8 + 4 + 8 + 5 + 27 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53128485273607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90508492507 + ... + 90508493093.

Almost surely, 2^{53128485273600} is an apocalyptic number.

53128485273600 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 53128485273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111010455376128).

53128485273600 is an abundant number, since it is smaller than the sum of its proper divisors (168892425478656).

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

53128485273600 is an equidigital number, since it uses as much as digits as its factorization.

53128485273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 53128485273600 in words is "fifty-three trillion, one hundred twenty-eight billion, four hundred eighty-five million, two hundred seventy-three thousand, six hundred".