52749339540480 has 3168 divisors, whose sum is σ = 219191937269760. Its totient is φ = 12139816550400.

The previous prime is 52749339540461. The next prime is 52749339540529. The reversal of 52749339540480 is 8404593394725.

52749339540480 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 9 + 3 + 3 + 9 + 540 + 4 + 80 = 666.

52749339540480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 415349130177 + ... + 415349130303.

Almost surely, 2^{52749339540480} 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 52749339540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109595968634880).

52749339540480 is an abundant number, since it is smaller than the sum of its proper divisors (166442597729280).

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

52749339540480 is a wasteful number, since it uses less digits than its factorization.

52749339540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 52749339540480 in words is "fifty-two trillion, seven hundred forty-nine billion, three hundred thirty-nine million, five hundred forty thousand, four hundred eighty".