57554057256960 has 2688 divisors, whose sum is σ = 224105096355840. Its totient is φ = 12560891904000.

The previous prime is 57554057256907. The next prime is 57554057256967. The reversal of 57554057256960 is 6965275045575.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 57554057256891 and 57554057256900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57554057256967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646674800596 + ... + 646674800684.

It is an arithmetic number, because the mean of its divisors is an integer number (83372431680).

Almost surely, 2^{57554057256960} 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 57554057256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112052548177920).

57554057256960 is an abundant number, since it is smaller than the sum of its proper divisors (166551039098880).

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

57554057256960 is a wasteful number, since it uses less digits than its factorization.

57554057256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 396900000, while the sum is 66.

The spelling of 57554057256960 in words is "fifty-seven trillion, five hundred fifty-four billion, fifty-seven million, two hundred fifty-six thousand, nine hundred sixty".