57311119200 has 144 divisors (see below), whose sum is σ = 186624055296. Its totient is φ = 15276710400.

The previous prime is 57311119153. The next prime is 57311119231. The reversal of 57311119200 is 291111375.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11591929 + ... + 11596871.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000384).

Almost surely, 2^57311119200 is an apocalyptic number.

57311119200 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 57311119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312027648).

57311119200 is an abundant number, since it is smaller than the sum of its proper divisors (129312936096).

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

57311119200 is a wasteful number, since it uses less digits than its factorization.

57311119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 57311119200 in words is "fifty-seven billion, three hundred eleven million, one hundred nineteen thousand, two hundred".