51145651450000 has 240 divisors, whose sum is σ = 126577918494720. Its totient is φ = 20009977920000.

The previous prime is 51145651449941. The next prime is 51145651450007. The reversal of 51145651450000 is 5415654115.

It is not an unprimeable number, because it can be changed into a prime (51145651450007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4133643814 + ... + 4133656186.

It is an arithmetic number, because the mean of its divisors is an integer number (527407993728).

Almost surely, 2^{51145651450000} is an apocalyptic number.

51145651450000 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 51145651450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63288959247360).

51145651450000 is an abundant number, since it is smaller than the sum of its proper divisors (75432267044720).

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

51145651450000 is a wasteful number, since it uses less digits than its factorization.

51145651450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 51145651450000 in words is "fifty-one trillion, one hundred forty-five billion, six hundred fifty-one million, four hundred fifty thousand".