51757056000 has 864 divisors, whose sum is σ = 208397393568. Its totient is φ = 12740198400.

The previous prime is 51757055957. The next prime is 51757056017. The reversal of 51757056000 is 65075715.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3981311994 + ... + 3981312006.

It is an arithmetic number, because the mean of its divisors is an integer number (241200687).

Almost surely, 2^51757056000 is an apocalyptic number.

51757056000 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 51757056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104198696784).

51757056000 is an abundant number, since it is smaller than the sum of its proper divisors (156640337568).

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

51757056000 is an frugal number, since it uses more digits than its factorization.

51757056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 51757056000 in words is "fifty-one billion, seven hundred fifty-seven million, fifty-six thousand".