57027003600 has 720 divisors, whose sum is σ = 224331534720. Its totient is φ = 12328243200.

The previous prime is 57027003559. The next prime is 57027003601. The reversal of 57027003600 is 630072075.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57027003601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90375285 + ... + 90375915.

It is an arithmetic number, because the mean of its divisors is an integer number (311571576).

Almost surely, 2^57027003600 is an apocalyptic number.

57027003600 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 57027003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112165767360).

57027003600 is an abundant number, since it is smaller than the sum of its proper divisors (167304531120).

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

57027003600 is a wasteful number, since it uses less digits than its factorization.

57027003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

Adding to 57027003600 its reverse (630072075), we get a palindrome (57657075675).

The spelling of 57027003600 in words is "fifty-seven billion, twenty-seven million, three thousand, six hundred".