57398533920 has 576 divisors, whose sum is σ = 243042508800. Its totient is φ = 12011618304.

The previous prime is 57398533919. The next prime is 57398533931. The reversal of 57398533920 is 2933589375.

It is a happy number.

57398533920 is a `hidden beast` number, since 57 + 39 + 8 + 533 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16640356 + ... + 16643804.

It is an arithmetic number, because the mean of its divisors is an integer number (421948800).

Almost surely, 2^57398533920 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 57398533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121521254400).

57398533920 is an abundant number, since it is smaller than the sum of its proper divisors (185643974880).

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

57398533920 is a wasteful number, since it uses less digits than its factorization.

57398533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 57398533920 in words is "fifty-seven billion, three hundred ninety-eight million, five hundred thirty-three thousand, nine hundred twenty".