57473121888 has 768 divisors, whose sum is σ = 220372992000. Its totient is φ = 14149085184.

The previous prime is 57473121887. The next prime is 57473121889. The reversal of 57473121888 is 88812137475.

It is an interprime number because it is at equal distance from previous prime (57473121887) and next prime (57473121889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57473121887) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 118014381 + ... + 118014867.

It is an arithmetic number, because the mean of its divisors is an integer number (286944000).

Almost surely, 2^57473121888 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 57473121888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110186496000).

57473121888 is an abundant number, since it is smaller than the sum of its proper divisors (162899870112).

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

57473121888 is a wasteful number, since it uses less digits than its factorization.

57473121888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 57473121888 in words is "fifty-seven billion, four hundred seventy-three million, one hundred twenty-one thousand, eight hundred eighty-eight".