55795779823680 has 1344 divisors, whose sum is σ = 230942092953600. Its totient is φ = 12591476490240.

The previous prime is 55795779823669. The next prime is 55795779823747. The reversal of 55795779823680 is 8632897759755.

55795779823680 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 577 + 9 + 8 + 2 + 36 + 8 + 0 = 666.

It is a super-2 number, since 2×55795779823680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55795779823680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1256950926 + ... + 1256995314.

It is an arithmetic number, because the mean of its divisors is an integer number (171831914400).

Almost surely, 2^{55795779823680} 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 55795779823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115471046476800).

55795779823680 is an abundant number, since it is smaller than the sum of its proper divisors (175146313129920).

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

55795779823680 is a wasteful number, since it uses less digits than its factorization.

55795779823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44497 (or 44462 counting only the distinct ones).

The product of its (nonzero) digits is 8001504000, while the sum is 81.

The spelling of 55795779823680 in words is "fifty-five trillion, seven hundred ninety-five billion, seven hundred seventy-nine million, eight hundred twenty-three thousand, six hundred eighty".