57887120200 has 288 divisors, whose sum is σ = 170138563560. Its totient is φ = 18153676800.

The previous prime is 57887120147. The next prime is 57887120233. The reversal of 57887120200 is 202178875.

It can be written as a sum of positive squares in 12 ways, for example, as 15320003076 + 42567117124 = 123774^2 + 206318^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14394190 + ... + 14398210.

Almost surely, 2^57887120200 is an apocalyptic number.

57887120200 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 57887120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85069281780).

57887120200 is an abundant number, since it is smaller than the sum of its proper divisors (112251443360).

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

57887120200 is a wasteful number, since it uses less digits than its factorization.

57887120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 57887120200 in words is "fifty-seven billion, eight hundred eighty-seven million, one hundred twenty thousand, two hundred".