52128248760 has 512 divisors, whose sum is σ = 212613120000. Its totient is φ = 11094796800.

The previous prime is 52128248737. The next prime is 52128248771. The reversal of 52128248760 is 6784282125.

52128248760 is a `hidden beast` number, since 521 + 2 + 82 + 48 + 7 + 6 + 0 = 666.

52128248760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8471685 + ... + 8477835.

It is an arithmetic number, because the mean of its divisors is an integer number (415260000).

Almost surely, 2^52128248760 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 52128248760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106306560000).

52128248760 is an abundant number, since it is smaller than the sum of its proper divisors (160484871240).

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

52128248760 is a wasteful number, since it uses less digits than its factorization.

52128248760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 52128248760 in words is "fifty-two billion, one hundred twenty-eight million, two hundred forty-eight thousand, seven hundred sixty".