57427855200 has 288 divisors, whose sum is σ = 210038119200. Its totient is φ = 15141519360.

The previous prime is 57427855183. The next prime is 57427855273. The reversal of 57427855200 is 255872475.

57427855200 is a `hidden beast` number, since 5 + 7 + 42 + 7 + 85 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 1907464 + ... + 1937336.

It is an arithmetic number, because the mean of its divisors is an integer number (729299025).

Almost surely, 2^57427855200 is an apocalyptic number.

57427855200 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 57427855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019059600).

57427855200 is an abundant number, since it is smaller than the sum of its proper divisors (152610264000).

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

57427855200 is a wasteful number, since it uses less digits than its factorization.

57427855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29991 (or 29972 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 57427855200 in words is "fifty-seven billion, four hundred twenty-seven million, eight hundred fifty-five thousand, two hundred".