57499411200 has 1728 divisors, whose sum is σ = 262783180800. Its totient is φ = 10705305600.

The previous prime is 57499411199. The next prime is 57499411241. The reversal of 57499411200 is 211499475.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646060756 + ... + 646060844.

It is an arithmetic number, because the mean of its divisors is an integer number (152073600).

Almost surely, 2^57499411200 is an apocalyptic number.

57499411200 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 57499411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131391590400).

57499411200 is an abundant number, since it is smaller than the sum of its proper divisors (205283769600).

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

57499411200 is a wasteful number, since it uses less digits than its factorization.

57499411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

It can be divided in two parts, 57 and 499411200, that multiplied together give a square (28466438400 = 168720²).

The spelling of 57499411200 in words is "fifty-seven billion, four hundred ninety-nine million, four hundred eleven thousand, two hundred".