53350296412320 has 240 divisors, whose sum is σ = 188350904189448. Its totient is φ = 14221545891840.

The previous prime is 53350296412289. The next prime is 53350296412331. The reversal of 53350296412320 is 2321469205335.

53350296412320 is a `hidden beast` number, since 5 + 3 + 35 + 0 + 296 + 4 + 1 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49302136316304 + 4048160096016 = 7021548^2 + 2012004^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 34772442 + ... + 36274278.

Almost surely, 2^{53350296412320} 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 53350296412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94175452094724).

53350296412320 is an abundant number, since it is smaller than the sum of its proper divisors (135000607777128).

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

53350296412320 is a wasteful number, since it uses less digits than its factorization.

53350296412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504605 (or 1504588 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 53350296412320 in words is "fifty-three trillion, three hundred fifty billion, two hundred ninety-six million, four hundred twelve thousand, three hundred twenty".