51715776000 has 960 divisors, whose sum is σ = 209583728640. Its totient is φ = 11259494400.

The previous prime is 51715775999. The next prime is 51715776053. The reversal of 51715776000 is 67751715.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 51715776000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216383881 + ... + 216384119.

It is an arithmetic number, because the mean of its divisors is an integer number (218316384).

Almost surely, 2^51715776000 is an apocalyptic number.

51715776000 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 51715776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104791864320).

51715776000 is an abundant number, since it is smaller than the sum of its proper divisors (157867952640).

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

51715776000 is a wasteful number, since it uses less digits than its factorization.

51715776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 39.

The spelling of 51715776000 in words is "fifty-one billion, seven hundred fifteen million, seven hundred seventy-six thousand".