57742811280 has 480 divisors, whose sum is σ = 252402238080. Its totient is φ = 11998264320.

The previous prime is 57742811221. The next prime is 57742811281. The reversal of 57742811280 is 8211824775.

57742811280 is a `hidden beast` number, since 577 + 42 + 8 + 11 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57742811281) 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 95 ways as a sum of consecutive naturals, for example, 1139442 + ... + 1189038.

It is an arithmetic number, because the mean of its divisors is an integer number (525837996).

Almost surely, 2^57742811280 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 57742811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126201119040).

57742811280 is an abundant number, since it is smaller than the sum of its proper divisors (194659426800).

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

57742811280 is a wasteful number, since it uses less digits than its factorization.

57742811280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49644 (or 49625 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 57742811280 in words is "fifty-seven billion, seven hundred forty-two million, eight hundred eleven thousand, two hundred eighty".