51096122784 has 240 divisors, whose sum is σ = 173865464640. Its totient is φ = 14598299520.

The previous prime is 51096122783. The next prime is 51096122807. The reversal of 51096122784 is 48722169015.

51096122784 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 612 + 27 + 8 + 4 = 666.

51096122784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51096122784² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51096122783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2062149 + ... + 2086779.

It is an arithmetic number, because the mean of its divisors is an integer number (724439436).

Almost surely, 2^51096122784 is an apocalyptic number.

51096122784 is a gapful number since it is divisible by the number (54) 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 51096122784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86932732320).

51096122784 is an abundant number, since it is smaller than the sum of its proper divisors (122769341856).

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

51096122784 is an equidigital number, since it uses as much as digits as its factorization.

51096122784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24678 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 51096122784 in words is "fifty-one billion, ninety-six million, one hundred twenty-two thousand, seven hundred eighty-four".