53208484173600 has 288 divisors, whose sum is σ = 197948520483840. Its totient is φ = 12161142973440.

The previous prime is 53208484173577. The next prime is 53208484173619. The reversal of 53208484173600 is 637148480235.

It is a happy number.

It is a super-2 number, since 2×53208484173600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278835021 + ... + 279025779.

It is an arithmetic number, because the mean of its divisors is an integer number (687321251680).

Almost surely, 2^{53208484173600} is an apocalyptic number.

53208484173600 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 53208484173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98974260241920).

53208484173600 is an abundant number, since it is smaller than the sum of its proper divisors (144740036310240).

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

53208484173600 is a wasteful number, since it uses less digits than its factorization.

53208484173600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207392 (or 207379 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 53208484173600 in words is "fifty-three trillion, two hundred eight billion, four hundred eighty-four million, one hundred seventy-three thousand, six hundred".