53361856206400 has 315 divisors, whose sum is σ = 153219433155009. Its totient is φ = 18290584650240.

The previous prime is 53361856206397. The next prime is 53361856206413. The reversal of 53361856206400 is 460265816335.

The square root of 53361856206400 is 7304920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19210268234304 + 34151587972096 = 4382952^2 + 5843936^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14317641337 + ... + 14317645063.

Almost surely, 2^{53361856206400} is an apocalyptic number.

53361856206400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53361856206400 is the 7304920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53361856206400

53361856206400 is an abundant number, since it is smaller than the sum of its proper divisors (99857576948609).

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

53361856206400 is an frugal number, since it uses more digits than its factorization.

53361856206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

53361856206400 divided by its sum of digits (49) gives a square (1089017473600 = 1043560²).

The spelling of 53361856206400 in words is "fifty-three trillion, three hundred sixty-one billion, eight hundred fifty-six million, two hundred six thousand, four hundred".