51110406144 has 288 divisors, whose sum is σ = 177591960000. Its totient is φ = 13833732096.

The previous prime is 51110406131. The next prime is 51110406157. The reversal of 51110406144 is 44160401115.

51110406144 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 0 + 40 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (51110406131) and next prime (51110406157).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51110406144² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2441032 + ... + 2461880.

It is an arithmetic number, because the mean of its divisors is an integer number (616638750).

Almost surely, 2^51110406144 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 51110406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88795980000).

51110406144 is an abundant number, since it is smaller than the sum of its proper divisors (126481553856).

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

51110406144 is a wasteful number, since it uses less digits than its factorization.

51110406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20903 (or 20880 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 51110406144 its reverse (44160401115), we get a palindrome (95270807259).

The spelling of 51110406144 in words is "fifty-one billion, one hundred ten million, four hundred six thousand, one hundred forty-four".