57809119200 has 144 divisors (see below), whose sum is σ = 215049985920. Its totient is φ = 13213509120.

The previous prime is 57809119189. The next prime is 57809119211. The reversal of 57809119200 is 291190875.

It is an interprime number because it is at equal distance from previous prime (57809119189) and next prime (57809119211).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703710 + ... + 1737309.

It is an arithmetic number, because the mean of its divisors is an integer number (1493402680).

Almost surely, 2^57809119200 is an apocalyptic number.

57809119200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57809119200 is an abundant number, since it is smaller than the sum of its proper divisors (157240866720).

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

57809119200 is a wasteful number, since it uses less digits than its factorization.

57809119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441049 (or 3441036 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The spelling of 57809119200 in words is "fifty-seven billion, eight hundred nine million, one hundred nineteen thousand, two hundred".