51591511222272 has 720 divisors, whose sum is σ = 179428918949280. Its totient is φ = 14726476283904.

The previous prime is 51591511222261. The next prime is 51591511222289. The reversal of 51591511222272 is 27222211519515.

51591511222272 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 151 + 1 + 222 + 272 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11111673583 + ... + 11111678225.

It is an arithmetic number, because the mean of its divisors is an integer number (249206831874).

Almost surely, 2^{51591511222272} 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 51591511222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89714459474640).

51591511222272 is an abundant number, since it is smaller than the sum of its proper divisors (127837407727008).

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

51591511222272 is a wasteful number, since it uses less digits than its factorization.

51591511222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6022 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The spelling of 51591511222272 in words is "fifty-one trillion, five hundred ninety-one billion, five hundred eleven million, two hundred twenty-two thousand, two hundred seventy-two".