5172727680 has 384 divisors, whose sum is σ = 18688644000. Its totient is φ = 1316732928.

The previous prime is 5172727661. The next prime is 5172727691. The reversal of 5172727680 is 867272715.

5172727680 is a `hidden beast` number, since 517 + 2 + 72 + 7 + 68 + 0 = 666.

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

It is a super-2 number, since 2×5172727680² = 53514223302876364800, which contains 22 as substring.

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

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, 28897831 + ... + 28898009.

Almost surely, 2^5172727680 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 5172727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9344322000).

5172727680 is an abundant number, since it is smaller than the sum of its proper divisors (13515916320).

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

5172727680 is a wasteful number, since it uses less digits than its factorization.

5172727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 5172727680 is about 71921.6773997937. The cubic root of 5172727680 is about 1729.4441374084. Note that the first 3 decimals are identical.

The spelling of 5172727680 in words is "five billion, one hundred seventy-two million, seven hundred twenty-seven thousand, six hundred eighty".