57221280 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 15035904.

The previous prime is 57221267. The next prime is 57221287. The reversal of 57221280 is 8212275.

57221280 is a `hidden beast` number, since 572 + 2 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (57221287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113509 + ... + 114011.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^57221280 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 57221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

57221280 is an abundant number, since it is smaller than the sum of its proper divisors (140911200).

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

57221280 is a wasteful number, since it uses less digits than its factorization.

57221280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57221280 is about 7564.4748661093. The cubic root of 57221280 is about 385.3474796220.

The spelling of 57221280 in words is "fifty-seven million, two hundred twenty-one thousand, two hundred eighty".