5127857280 has 640 divisors, whose sum is σ = 22559201280. Its totient is φ = 1080926208.

The previous prime is 5127857239. The next prime is 5127857303. The reversal of 5127857280 is 827587215.

5127857280 is a `hidden beast` number, since 5 + 1 + 2 + 78 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4716897 + ... + 4717983.

It is an arithmetic number, because the mean of its divisors is an integer number (35248752).

Almost surely, 2^5127857280 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 5127857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279600640).

5127857280 is an abundant number, since it is smaller than the sum of its proper divisors (17431344000).

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

5127857280 is a wasteful number, since it uses less digits than its factorization.

5127857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5127857280 is about 71609.0586448391. The cubic root of 5127857280 is about 1724.4289678901.

The spelling of 5127857280 in words is "five billion, one hundred twenty-seven million, eight hundred fifty-seven thousand, two hundred eighty".