57277145088 has 448 divisors, whose sum is σ = 180553766400. Its totient is φ = 18130894848.

The previous prime is 57277145041. The next prime is 57277145117. The reversal of 57277145088 is 88054177275.

57277145088 is a `hidden beast` number, since 57 + 2 + 77 + 14 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 412065723 + ... + 412065861.

It is an arithmetic number, because the mean of its divisors is an integer number (403021800).

Almost surely, 2^57277145088 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 57277145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90276883200).

57277145088 is an abundant number, since it is smaller than the sum of its proper divisors (123276621312).

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

57277145088 is an frugal number, since it uses more digits than its factorization.

57277145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 57277145088 in words is "fifty-seven billion, two hundred seventy-seven million, one hundred forty-five thousand, eighty-eight".