5457082176 has 504 divisors, whose sum is σ = 19920569760. Its totient is φ = 1415522304.

The previous prime is 5457082153. The next prime is 5457082181. The reversal of 5457082176 is 6712807545.

5457082176 is a `hidden beast` number, since 5 + 4 + 570 + 8 + 2 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 39259515 + ... + 39259653.

It is an arithmetic number, because the mean of its divisors is an integer number (39524940).

Almost surely, 2^5457082176 is an apocalyptic number.

5457082176 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 5457082176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960284880).

5457082176 is an abundant number, since it is smaller than the sum of its proper divisors (14463487584).

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

5457082176 is a wasteful number, since it uses less digits than its factorization.

5457082176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5457082176 is about 73872.0662767734. The cubic root of 5457082176 is about 1760.5708134730.

The spelling of 5457082176 in words is "five billion, four hundred fifty-seven million, eighty-two thousand, one hundred seventy-six".