57279942720 has 1792 divisors, whose sum is σ = 280201420800. Its totient is φ = 10630103040.

The previous prime is 57279942703. The next prime is 57279942737. The reversal of 57279942720 is 2724997275.

It is a happy number.

57279942720 is a `hidden beast` number, since 572 + 7 + 9 + 9 + 42 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (57279942703) and next prime (57279942737).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 319999591 + ... + 319999769.

It is an arithmetic number, because the mean of its divisors is an integer number (156362400).

Almost surely, 2^57279942720 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 57279942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140100710400).

57279942720 is an abundant number, since it is smaller than the sum of its proper divisors (222921478080).

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

57279942720 is a wasteful number, since it uses less digits than its factorization.

57279942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

It can be divided in two parts, 57279 and 942720, that added together give a palindrome (999999).

The spelling of 57279942720 in words is "fifty-seven billion, two hundred seventy-nine million, nine hundred forty-two thousand, seven hundred twenty".