51180941155968 has 256 divisors, whose sum is σ = 162942550041600. Its totient is φ = 15722029559808.

The previous prime is 51180941155951. The next prime is 51180941156003. The reversal of 51180941155968 is 86955114908115.

51180941155968 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 0 + 9 + 4 + 11 + 559 + 68 = 666.

It is a super-2 number, since 2×51180941155968² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26332930 + ... + 28209662.

It is an arithmetic number, because the mean of its divisors is an integer number (636494336100).

Almost surely, 2^{51180941155968} 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 51180941155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81471275020800).

51180941155968 is an abundant number, since it is smaller than the sum of its proper divisors (111761608885632).

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

51180941155968 is a wasteful number, since it uses less digits than its factorization.

51180941155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877376 (or 1877358 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 63.

The spelling of 51180941155968 in words is "fifty-one trillion, one hundred eighty billion, nine hundred forty-one million, one hundred fifty-five thousand, nine hundred sixty-eight".