57553341408 has 72 divisors (see below), whose sum is σ = 172281400200. Its totient is φ = 18174737664.

The previous prime is 57553341379. The next prime is 57553341409. The reversal of 57553341408 is 80414335575.

It is a happy number.

57553341408 is a `hidden beast` number, since 5 + 75 + 533 + 4 + 1 + 40 + 8 = 666.

57553341408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57553341409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5253423 + ... + 5264366.

It is an arithmetic number, because the mean of its divisors is an integer number (2392797225).

Almost surely, 2^57553341408 is an apocalyptic number.

It is an amenable number.

57553341408 is an abundant number, since it is smaller than the sum of its proper divisors (114728058792).

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

57553341408 is a wasteful number, since it uses less digits than its factorization.

57553341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517824 (or 10517813 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57553341408 in words is "fifty-seven billion, five hundred fifty-three million, three hundred forty-one thousand, four hundred eight".