51945082112000 has 1536 divisors, whose sum is σ = 169224951168000. Its totient is φ = 15441592320000.

The previous prime is 51945082111991. The next prime is 51945082112017. The reversal of 51945082112000 is 21128054915.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50876671490 + ... + 50876672510.

It is an arithmetic number, because the mean of its divisors is an integer number (110172494250).

Almost surely, 2^{51945082112000} is an apocalyptic number.

51945082112000 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 51945082112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84612475584000).

51945082112000 is an abundant number, since it is smaller than the sum of its proper divisors (117279869056000).

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

51945082112000 is a wasteful number, since it uses less digits than its factorization.

51945082112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 51945082112000 in words is "fifty-one trillion, nine hundred forty-five billion, eighty-two million, one hundred twelve thousand".