57011245200 has 720 divisors, whose sum is σ = 254235394560. Its totient is φ = 12027294720.

The previous prime is 57011245189. The next prime is 57011245231. The reversal of 57011245200 is 254211075.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6875457 + ... + 6883743.

Almost surely, 2^57011245200 is an apocalyptic number.

57011245200 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 57011245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127117697280).

57011245200 is an abundant number, since it is smaller than the sum of its proper divisors (197224149360).

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

57011245200 is a wasteful number, since it uses less digits than its factorization.

57011245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 57011245200 its reverse (254211075), we get a palindrome (57265456275).

The spelling of 57011245200 in words is "fifty-seven billion, eleven million, two hundred forty-five thousand, two hundred".