57573047281920 has 288 divisors, whose sum is σ = 191712198021120. Its totient is φ = 14706681937920.

The previous prime is 57573047281909. The next prime is 57573047281943. The reversal of 57573047281920 is 2918274037575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 12107290 + ... + 16178150.

It is an arithmetic number, because the mean of its divisors is an integer number (665667354240).

Almost surely, 2^{57573047281920} 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 57573047281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95856099010560).

57573047281920 is an abundant number, since it is smaller than the sum of its proper divisors (134139150739200).

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

57573047281920 is a wasteful number, since it uses less digits than its factorization.

57573047281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071041 (or 4071027 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 57573047281920 in words is "fifty-seven trillion, five hundred seventy-three billion, forty-seven million, two hundred eighty-one thousand, nine hundred twenty".