57553075200 has 264 divisors, whose sum is σ = 196782695280. Its totient is φ = 14817689600.

The previous prime is 57553075189. The next prime is 57553075211. The reversal of 57553075200 is 257035575.

It is an interprime number because it is at equal distance from previous prime (57553075189) and next prime (57553075211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2214280 + ... + 2240120.

Almost surely, 2^57553075200 is an apocalyptic number.

57553075200 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 57553075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98391347640).

57553075200 is an abundant number, since it is smaller than the sum of its proper divisors (139229620080).

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

57553075200 is a wasteful number, since it uses less digits than its factorization.

57553075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25903 (or 25880 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 39.

The spelling of 57553075200 in words is "fifty-seven billion, five hundred fifty-three million, seventy-five thousand, two hundred".