5006002176 has 336 divisors, whose sum is σ = 17187206400. Its totient is φ = 1427300352.

The previous prime is 5006002151. The next prime is 5006002193. The reversal of 5006002176 is 6712006005.

5006002176 is a `hidden beast` number, since 50 + 0 + 600 + 2 + 1 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5006002176² = 50120115572233469952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450705 + ... + 10451183.

It is an arithmetic number, because the mean of its divisors is an integer number (51152400).

Almost surely, 2^5006002176 is an apocalyptic number.

5006002176 is a gapful number since it is divisible by the number (56) 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 5006002176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593603200).

5006002176 is an abundant number, since it is smaller than the sum of its proper divisors (12181204224).

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

5006002176 is an frugal number, since it uses more digits than its factorization.

5006002176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5006002176 is about 70753.1071826531. The cubic root of 5006002176 is about 1710.6599115037.

The spelling of 5006002176 in words is "five billion, six million, two thousand, one hundred seventy-six".