5457625056 has 288 divisors, whose sum is σ = 18632708640. Its totient is φ = 1496973312.

The previous prime is 5457625049. The next prime is 5457625079. The reversal of 5457625056 is 6505267545.

5457625056 is a `hidden beast` number, since 5 + 4 + 576 + 25 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207056 + ... + 1211568.

It is an arithmetic number, because the mean of its divisors is an integer number (64696905).

Almost surely, 2^5457625056 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 5457625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316354320).

5457625056 is an abundant number, since it is smaller than the sum of its proper divisors (13175083584).

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

5457625056 is a wasteful number, since it uses less digits than its factorization.

5457625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 5457625056 is about 73875.7406460335. The cubic root of 5457625056 is about 1760.6291930832.

The spelling of 5457625056 in words is "five billion, four hundred fifty-seven million, six hundred twenty-five thousand, fifty-six".