51738296376000 has 896 divisors, whose sum is σ = 186646918348800. Its totient is φ = 12551661158400.

The previous prime is 51738296375903. The next prime is 51738296376031. The reversal of 51738296376000 is 67369283715.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16588102441 + ... + 16588105559.

It is an arithmetic number, because the mean of its divisors is an integer number (208311292800).

Almost surely, 2^{51738296376000} is an apocalyptic number.

51738296376000 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 51738296376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93323459174400).

51738296376000 is an abundant number, since it is smaller than the sum of its proper divisors (134908621972800).

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

51738296376000 is a wasteful number, since it uses less digits than its factorization.

51738296376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 51738296376000 in words is "fifty-one trillion, seven hundred thirty-eight billion, two hundred ninety-six million, three hundred seventy-six thousand".