57978082948128 has 192 divisors, whose sum is σ = 181507834755072. Its totient is φ = 15843961774080.

The previous prime is 57978082948069. The next prime is 57978082948169. The reversal of 57978082948128 is 82184928087975.

It is a happy number.

It is a super-2 number, since 2×57978082948128² (a number of 28 digits) contains 22 as substring.

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, 270109968 + ... + 270324528.

It is an arithmetic number, because the mean of its divisors is an integer number (945353306016).

Almost surely, 2^{57978082948128} 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 57978082948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90753917377536).

57978082948128 is an abundant number, since it is smaller than the sum of its proper divisors (123529751806944).

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

57978082948128 is a wasteful number, since it uses less digits than its factorization.

57978082948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232087 (or 232079 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 78.

The spelling of 57978082948128 in words is "fifty-seven trillion, nine hundred seventy-eight billion, eighty-two million, nine hundred forty-eight thousand, one hundred twenty-eight".