57260848800 has 288 divisors, whose sum is σ = 188659800000. Its totient is φ = 15084380160.

The previous prime is 57260848793. The next prime is 57260848823. The reversal of 57260848800 is 884806275.

It is a super-2 number, since 2×57260848800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57260848800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114750951 + ... + 114751449.

It is an arithmetic number, because the mean of its divisors is an integer number (655068750).

Almost surely, 2^57260848800 is an apocalyptic number.

57260848800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57260848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94329900000).

57260848800 is an abundant number, since it is smaller than the sum of its proper divisors (131398951200).

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

57260848800 is a wasteful number, since it uses less digits than its factorization.

57260848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 57260848800 in words is "fifty-seven billion, two hundred sixty million, eight hundred forty-eight thousand, eight hundred".