51055966241280 has 8640 divisors, whose sum is σ = 271832715842688. Its totient is φ = 9042992824320.

The previous prime is 51055966241251. The next prime is 51055966241281. The reversal of 51055966241280 is 8214266955015.

51055966241280 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 5 + 9 + 6 + 624 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-2 number, since 2×51055966241280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51055966241281) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 963320117734 + ... + 963320117786.

Almost surely, 2^{51055966241280} 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 51055966241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135916357921344).

51055966241280 is an abundant number, since it is smaller than the sum of its proper divisors (220776749601408).

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

51055966241280 is a wasteful number, since it uses less digits than its factorization.

51055966241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 51055966241280 in words is "fifty-one trillion, fifty-five billion, nine hundred sixty-six million, two hundred forty-one thousand, two hundred eighty".