53118299445120 has 768 divisors, whose sum is σ = 228610580889600. Its totient is φ = 11065503301632.

The previous prime is 53118299445119. The next prime is 53118299445137. The reversal of 53118299445120 is 2154499281135.

53118299445120 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 82 + 9 + 9 + 44 + 512 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40767249 + ... + 42050031.

It is an arithmetic number, because the mean of its divisors is an integer number (297670027200).

Almost surely, 2^{53118299445120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53118299445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114305290444800).

53118299445120 is an abundant number, since it is smaller than the sum of its proper divisors (175492281444480).

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

53118299445120 is a wasteful number, since it uses less digits than its factorization.

53118299445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282907 (or 1282892 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 53118299445120 in words is "fifty-three trillion, one hundred eighteen billion, two hundred ninety-nine million, four hundred forty-five thousand, one hundred twenty".