57760020200 has 96 divisors (see below), whose sum is σ = 137471558400. Its totient is φ = 22559312640.

The previous prime is 57760020191. The next prime is 57760020209. The reversal of 57760020200 is 202006775.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57760020191) and next prime (57760020209).

It is not an unprimeable number, because it can be changed into a prime (57760020209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4119602 + ... + 4133598.

It is an arithmetic number, because the mean of its divisors is an integer number (1431995400).

Almost surely, 2^57760020200 is an apocalyptic number.

57760020200 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 57760020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68735779200).

57760020200 is an abundant number, since it is smaller than the sum of its proper divisors (79711538200).

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

57760020200 is a wasteful number, since it uses less digits than its factorization.

57760020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14499 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

Adding to 57760020200 its reverse (202006775), we get a palindrome (57962026975).

The spelling of 57760020200 in words is "fifty-seven billion, seven hundred sixty million, twenty thousand, two hundred".