5256928638720 has 432 divisors, whose sum is σ = 19905868329984. Its totient is φ = 1270299648000.

The previous prime is 5256928638707. The next prime is 5256928638737. The reversal of 5256928638720 is 278368296525.

5256928638720 is a `hidden beast` number, since 5 + 2 + 569 + 2 + 8 + 63 + 8 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39343225 + ... + 39476615.

It is an arithmetic number, because the mean of its divisors is an integer number (46078398912).

Almost surely, 2^{5256928638720} 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 5256928638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952934164992).

5256928638720 is an abundant number, since it is smaller than the sum of its proper divisors (14648939691264).

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

5256928638720 is a wasteful number, since it uses less digits than its factorization.

5256928638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133740 (or 133723 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5256928638720 in words is "five trillion, two hundred fifty-six billion, nine hundred twenty-eight million, six hundred thirty-eight thousand, seven hundred twenty".