5186825280 has 672 divisors, whose sum is σ = 22801868544. Its totient is φ = 1092870144.

The previous prime is 5186825269. The next prime is 5186825291. The reversal of 5186825280 is 825286815.

5186825280 is a `hidden beast` number, since 518 + 6 + 8 + 2 + 52 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5186825269) and next prime (5186825291).

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7075794 + ... + 7076526.

It is an arithmetic number, because the mean of its divisors is an integer number (33931352).

Almost surely, 2^5186825280 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 5186825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400934272).

5186825280 is an abundant number, since it is smaller than the sum of its proper divisors (17615043264).

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

5186825280 is a wasteful number, since it uses less digits than its factorization.

5186825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5186825280 is about 72019.6173275032. The cubic root of 5186825280 is about 1731.0138376746.

The spelling of 5186825280 in words is "five billion, one hundred eighty-six million, eight hundred twenty-five thousand, two hundred eighty".