51089246208 has 1152 divisors, whose sum is σ = 207189964800. Its totient is φ = 12076646400.

The previous prime is 51089246161. The next prime is 51089246261. The reversal of 51089246208 is 80264298015.

51089246208 is a `hidden beast` number, since 5 + 10 + 8 + 9 + 2 + 4 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×51089246208² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719566813 + ... + 719566883.

It is an arithmetic number, because the mean of its divisors is an integer number (179852400).

Almost surely, 2^51089246208 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 51089246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103594982400).

51089246208 is an abundant number, since it is smaller than the sum of its proper divisors (156100718592).

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

51089246208 is a wasteful number, since it uses less digits than its factorization.

51089246208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51089246208 in words is "fifty-one billion, eighty-nine million, two hundred forty-six thousand, two hundred eight".