52738240389120 has 3584 divisors, whose sum is σ = 233997681254400. Its totient is φ = 11225388810240.

The previous prime is 52738240389113. The next prime is 52738240389139. The reversal of 52738240389120 is 2198304283725.

52738240389120 is a `hidden beast` number, since 5 + 2 + 7 + 3 + 8 + 240 + 389 + 12 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 294627041191 + ... + 294627041369.

It is an arithmetic number, because the mean of its divisors is an integer number (65289531600).

Almost surely, 2^{52738240389120} 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 52738240389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116998840627200).

52738240389120 is an abundant number, since it is smaller than the sum of its proper divisors (181259440865280).

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

52738240389120 is a wasteful number, since it uses less digits than its factorization.

52738240389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 52738240389120 in words is "fifty-two trillion, seven hundred thirty-eight billion, two hundred forty million, three hundred eighty-nine thousand, one hundred twenty".