5088166272 has 384 divisors, whose sum is σ = 17397120000. Its totient is φ = 1426553856.

The previous prime is 5088166267. The next prime is 5088166301. The reversal of 5088166272 is 2726618805.

5088166272 is a `hidden beast` number, since 5 + 0 + 8 + 8 + 16 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31215663 + ... + 31215825.

It is an arithmetic number, because the mean of its divisors is an integer number (45305000).

Almost surely, 2^5088166272 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 5088166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698560000).

5088166272 is an abundant number, since it is smaller than the sum of its proper divisors (12308953728).

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

5088166272 is a wasteful number, since it uses less digits than its factorization.

5088166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5088166272 is about 71331.3834998313. The cubic root of 5088166272 is about 1719.9682561295.

The spelling of 5088166272 in words is "five billion, eighty-eight million, one hundred sixty-six thousand, two hundred seventy-two".