51011718144 has 176 divisors, whose sum is σ = 139677585408. Its totient is φ = 16545005568.

The previous prime is 51011718137. The next prime is 51011718167. The reversal of 51011718144 is 44181711015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20676399 + ... + 20678865.

Almost surely, 2^51011718144 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 51011718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69838792704).

51011718144 is an abundant number, since it is smaller than the sum of its proper divisors (88665867264).

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

51011718144 is a wasteful number, since it uses less digits than its factorization.

51011718144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The spelling of 51011718144 in words is "fifty-one billion, eleven million, seven hundred eighteen thousand, one hundred forty-four".