51091159204864 has 99 divisors (see below), whose sum is σ = 104984754391503. Its totient is φ = 24851041394688.

The previous prime is 51091159204849. The next prime is 51091159204871. The reversal of 51091159204864 is 46840295119015.

The square root of 51091159204864 is 7147808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 842342155264 + 50248817049600 = 917792^2 + 7088640^2 .

It is a super-2 number, since 2×51091159204864² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8463001654 + ... + 8463007690.

Almost surely, 2^{51091159204864} is an apocalyptic number.

51091159204864 is the 7147808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51091159204864

51091159204864 is an abundant number, since it is smaller than the sum of its proper divisors (53893595186639).

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

51091159204864 is an frugal number, since it uses more digits than its factorization.

51091159204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12168 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 51091159204864 in words is "fifty-one trillion, ninety-one billion, one hundred fifty-nine million, two hundred four thousand, eight hundred sixty-four".