51126995160 has 384 divisors, whose sum is σ = 176317689600. Its totient is φ = 12832680960.

The previous prime is 51126995081. The next prime is 51126995189. The reversal of 51126995160 is 6159962115.

It is a happy number.

51126995160 is a `hidden beast` number, since 5 + 1 + 126 + 9 + 9 + 516 + 0 = 666.

It is a super-2 number, since 2×51126995160² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 52653475 + ... + 52654445.

It is an arithmetic number, because the mean of its divisors is an integer number (459160650).

Almost surely, 2^51126995160 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 51126995160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88158844800).

51126995160 is an abundant number, since it is smaller than the sum of its proper divisors (125190694440).

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

51126995160 is a wasteful number, since it uses less digits than its factorization.

51126995160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1144 counting only the distinct ones).

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

The spelling of 51126995160 in words is "fifty-one billion, one hundred twenty-six million, nine hundred ninety-five thousand, one hundred sixty".