57553951104 has 192 divisors, whose sum is σ = 183179527440. Its totient is φ = 17230123008.

The previous prime is 57553951019. The next prime is 57553951111. The reversal of 57553951104 is 40115935575.

57553951104 is a `hidden beast` number, since 5 + 7 + 5 + 539 + 5 + 1 + 104 = 666.

57553951104 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 (192).

It is a self number, because there is not a number n which added to its sum of digits gives 57553951104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502179 + ... + 606045.

Almost surely, 2^57553951104 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 57553951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91589763720).

57553951104 is an abundant number, since it is smaller than the sum of its proper divisors (125625576336).

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

57553951104 is a wasteful number, since it uses less digits than its factorization.

57553951104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103937 (or 103922 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 57553951104 in words is "fifty-seven billion, five hundred fifty-three million, nine hundred fifty-one thousand, one hundred four".