57680252928 has 416 divisors, whose sum is σ = 177963563520. Its totient is φ = 18680315904.

The previous prime is 57680252893. The next prime is 57680252957. The reversal of 57680252928 is 82925208675.

It is a happy number.

57680252928 is a `hidden beast` number, since 57 + 68 + 0 + 2 + 529 + 2 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421023676 + ... + 421023812.

Almost surely, 2^57680252928 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 57680252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88981781760).

57680252928 is an abundant number, since it is smaller than the sum of its proper divisors (120283310592).

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

57680252928 is an frugal number, since it uses more digits than its factorization.

57680252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 57680252928 in words is "fifty-seven billion, six hundred eighty million, two hundred fifty-two thousand, nine hundred twenty-eight".