57148428960 has 576 divisors, whose sum is σ = 235117209600. Its totient is φ = 12837491712.

The previous prime is 57148428941. The next prime is 57148428991. The reversal of 57148428960 is 6982484175.

It is a happy number.

57148428960 is a `hidden beast` number, since 5 + 71 + 484 + 2 + 8 + 96 + 0 = 666.

57148428960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 57148428897 and 57148428906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16055661 + ... + 16059219.

It is an arithmetic number, because the mean of its divisors is an integer number (408189600).

Almost surely, 2^57148428960 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 57148428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117558604800).

57148428960 is an abundant number, since it is smaller than the sum of its proper divisors (177968780640).

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

57148428960 is a wasteful number, since it uses less digits than its factorization.

57148428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57148428960 in words is "fifty-seven billion, one hundred forty-eight million, four hundred twenty-eight thousand, nine hundred sixty".