51505150111116 has 192 divisors, whose sum is σ = 136073932646400. Its totient is φ = 15051860296704.

The previous prime is 51505150110977. The next prime is 51505150111139. The reversal of 51505150111116 is 61111105150515.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217816486 + ... + 218052818.

It is an arithmetic number, because the mean of its divisors is an integer number (708718399200).

Almost surely, 2^{51505150111116} 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 51505150111116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68036966323200).

51505150111116 is an abundant number, since it is smaller than the sum of its proper divisors (84568782535284).

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

51505150111116 is a wasteful number, since it uses less digits than its factorization.

51505150111116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237168 (or 237166 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 33.

The spelling of 51505150111116 in words is "fifty-one trillion, five hundred five billion, one hundred fifty million, one hundred eleven thousand, one hundred sixteen".