53287171660800 has 3960 divisors, whose sum is σ = 252934159927680. Its totient is φ = 10992999628800.

The previous prime is 53287171660747. The next prime is 53287171660859. The reversal of 53287171660800 is 806617178235.

It is a happy number.

53287171660800 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 7 + 17 + 16 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 383360947131 + ... + 383360947269.

It is an arithmetic number, because the mean of its divisors is an integer number (63872262608).

Almost surely, 2^{53287171660800} is an apocalyptic number.

53287171660800 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 53287171660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126467079963840).

53287171660800 is an abundant number, since it is smaller than the sum of its proper divisors (199646988266880).

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

53287171660800 is an equidigital number, since it uses as much as digits as its factorization.

53287171660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 53287171660800 in words is "fifty-three trillion, two hundred eighty-seven billion, one hundred seventy-one million, six hundred sixty thousand, eight hundred".