51975708336000 has 768 divisors, whose sum is σ = 198632646576000. Its totient is φ = 12979209830400.

The previous prime is 51975708335921. The next prime is 51975708336001. The reversal of 51975708336000 is 63380757915.

51975708336000 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 570 + 8 + 3 + 3 + 60 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51975708336001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487098654 + ... + 487205346.

Almost surely, 2^{51975708336000} is an apocalyptic number.

51975708336000 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 51975708336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99316323288000).

51975708336000 is an abundant number, since it is smaller than the sum of its proper divisors (146656938240000).

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

51975708336000 is a wasteful number, since it uses less digits than its factorization.

51975708336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106944 (or 106919 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 51975708336000 in words is "fifty-one trillion, nine hundred seventy-five billion, seven hundred eight million, three hundred thirty-six thousand".