52963481290720 has 1152 divisors, whose sum is σ = 181661117299200. Its totient is φ = 14303161958400.

The previous prime is 52963481290717. The next prime is 52963481290751. The reversal of 52963481290720 is 2709218436925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2321828115 + ... + 2321850925.

It is an arithmetic number, because the mean of its divisors is an integer number (157691942100).

It is a 1-persistent number, because it is pandigital, but 2⋅52963481290720 = 105926962581440 is not.

Almost surely, 2^{52963481290720} 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 52963481290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90830558649600).

52963481290720 is an abundant number, since it is smaller than the sum of its proper divisors (128697636008480).

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

52963481290720 is a wasteful number, since it uses less digits than its factorization.

52963481290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22992 (or 22977 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 52963481290720 in words is "fifty-two trillion, nine hundred sixty-three billion, four hundred eighty-one million, two hundred ninety thousand, seven hundred twenty".