5075529984 has 360 divisors, whose sum is σ = 17569896960. Its totient is φ = 1427300352.

The previous prime is 5075529973. The next prime is 5075529989. The reversal of 5075529984 is 4899255705.

5075529984 is a `hidden beast` number, since 5 + 0 + 7 + 552 + 9 + 9 + 84 = 666.

It is a super-2 number, since 2×5075529984² = 51522009236966080512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5075529984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5075529989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10595857 + ... + 10596335.

Almost surely, 2^5075529984 is an apocalyptic number.

5075529984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5075529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784948480).

5075529984 is an abundant number, since it is smaller than the sum of its proper divisors (12494366976).

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

5075529984 is an equidigital number, since it uses as much as digits as its factorization.

5075529984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The square root of 5075529984 is about 71242.7539052218. The cubic root of 5075529984 is about 1718.5432482562.

The spelling of 5075529984 in words is "five billion, seventy-five million, five hundred twenty-nine thousand, nine hundred eighty-four".