51129662040 has 96 divisors (see below), whose sum is σ = 166610293200. Its totient is φ = 13598565120.

The previous prime is 51129662039. The next prime is 51129662053. The reversal of 51129662040 is 4026692115.

51129662040 is a `hidden beast` number, since 5 + 1 + 1 + 29 + 6 + 620 + 4 + 0 = 666.

It is a super-2 number, since 2×51129662040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51129661986 and 51129662004.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 50931 + ... + 323810.

Almost surely, 2^51129662040 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 51129662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83305146600).

51129662040 is an abundant number, since it is smaller than the sum of its proper divisors (115480631160).

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

51129662040 is a wasteful number, since it uses less digits than its factorization.

51129662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375137 (or 375130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 51129662040 in words is "fifty-one billion, one hundred twenty-nine million, six hundred sixty-two thousand, forty".