51007191144 has 256 divisors, whose sum is σ = 159411732480. Its totient is φ = 13242700800.

The previous prime is 51007191143. The next prime is 51007191163. The reversal of 51007191144 is 44119170015.

It is not an unprimeable number, because it can be changed into a prime (51007191143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44314969 + ... + 44316119.

It is an arithmetic number, because the mean of its divisors is an integer number (622702080).

Almost surely, 2^51007191144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51007191144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79705866240).

51007191144 is an abundant number, since it is smaller than the sum of its proper divisors (108404541336).

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

51007191144 is a wasteful number, since it uses less digits than its factorization.

51007191144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 51007191144 in words is "fifty-one billion, seven million, one hundred ninety-one thousand, one hundred forty-four".