53068266146304 has 240 divisors, whose sum is σ = 158892726152160. Its totient is φ = 17682564280320.

The previous prime is 53068266146303. The next prime is 53068266146323. The reversal of 53068266146304 is 40364166286035.

53068266146304 is a `hidden beast` number, since 5 + 3 + 0 + 68 + 266 + 14 + 6 + 304 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53068266146303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 326012967 + ... + 326175705.

It is an arithmetic number, because the mean of its divisors is an integer number (662053025634).

Almost surely, 2^{53068266146304} is an apocalyptic number.

53068266146304 is a gapful number since it is divisible by the number (54) 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 53068266146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79446363076080).

53068266146304 is an abundant number, since it is smaller than the sum of its proper divisors (105824460005856).

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

53068266146304 is an equidigital number, since it uses as much as digits as its factorization.

53068266146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165393 (or 165365 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 53068266146304 in words is "fifty-three trillion, sixty-eight billion, two hundred sixty-six million, one hundred forty-six thousand, three hundred four".