51012783129090 has 128 divisors (see below), whose sum is σ = 134206495038720. Its totient is φ = 12352138444800.

The previous prime is 51012783129089. The next prime is 51012783129167. The reversal of 51012783129090 is 9092138721015.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 17758050 + ... + 20429730.

It is an arithmetic number, because the mean of its divisors is an integer number (1048488242490).

Almost surely, 2^{51012783129090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51012783129090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67103247519360).

51012783129090 is an abundant number, since it is smaller than the sum of its proper divisors (83193711909630).

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

51012783129090 is a wasteful number, since it uses less digits than its factorization.

51012783129090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673028.

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 51012783129090 in words is "fifty-one trillion, twelve billion, seven hundred eighty-three million, one hundred twenty-nine thousand, ninety".