57124987200 has 252 divisors, whose sum is σ = 206367319548. Its totient is φ = 14983372800.

The previous prime is 57124987141. The next prime is 57124987217. The reversal of 57124987200 is 278942175.

It is a happy number.

57124987200 is a `hidden beast` number, since 571 + 2 + 4 + 9 + 8 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1772073216 + 55352913984 = 42096^2 + 235272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 845884 + ... + 910916.

Almost surely, 2^57124987200 is an apocalyptic number.

57124987200 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 57124987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103183659774).

57124987200 is an abundant number, since it is smaller than the sum of its proper divisors (149242332348).

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

57124987200 is a wasteful number, since it uses less digits than its factorization.

57124987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65122 (or 65104 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 57124987200 in words is "fifty-seven billion, one hundred twenty-four million, nine hundred eighty-seven thousand, two hundred".