51159669120 has 1536 divisors, whose sum is σ = 229062297600. Its totient is φ = 10729635840.

The previous prime is 51159669107. The next prime is 51159669137. The reversal of 51159669120 is 2196695115.

It is a happy number.

51159669120 is a `hidden beast` number, since 51 + 1 + 596 + 6 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 720558685 + ... + 720558755.

It is an arithmetic number, because the mean of its divisors is an integer number (149129100).

Almost surely, 2^51159669120 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 51159669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114531148800).

51159669120 is an abundant number, since it is smaller than the sum of its proper divisors (177902628480).

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

51159669120 is a wasteful number, since it uses less digits than its factorization.

51159669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 51159669120 in words is "fifty-one billion, one hundred fifty-nine million, six hundred sixty-nine thousand, one hundred twenty".