51757375600 has 240 divisors, whose sum is σ = 150125113600. Its totient is φ = 16751370240.

The previous prime is 51757375597. The next prime is 51757375693. The reversal of 51757375600 is 657375715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16330816 + ... + 16333984.

Almost surely, 2^51757375600 is an apocalyptic number.

51757375600 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 51757375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062556800).

51757375600 is an abundant number, since it is smaller than the sum of its proper divisors (98367738000).

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

51757375600 is a wasteful number, since it uses less digits than its factorization.

51757375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 46.

The spelling of 51757375600 in words is "fifty-one billion, seven hundred fifty-seven million, three hundred seventy-five thousand, six hundred".