51129656690112 has 1344 divisors, whose sum is σ = 207638838650880. Its totient is φ = 11593845964800.

The previous prime is 51129656690053. The next prime is 51129656690143. The reversal of 51129656690112 is 21109665692115.

51129656690112 is a `hidden beast` number, since 51 + 1 + 29 + 6 + 566 + 9 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×51129656690112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1180229412 + ... + 1180272732.

It is an arithmetic number, because the mean of its divisors is an integer number (154493183520).

Almost surely, 2^{51129656690112} is an apocalyptic number.

51129656690112 is a gapful number since it is divisible by the number (52) 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 51129656690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103819419325440).

51129656690112 is an abundant number, since it is smaller than the sum of its proper divisors (156509181960768).

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

51129656690112 is a wasteful number, since it uses less digits than its factorization.

51129656690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43482 (or 43469 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 51129656690112 in words is "fifty-one trillion, one hundred twenty-nine billion, six hundred fifty-six million, six hundred ninety thousand, one hundred twelve".