55122563358720 has 2688 divisors, whose sum is σ = 234948891340800. Its totient is φ = 11771943321600.

The previous prime is 55122563358697. The next prime is 55122563358757. The reversal of 55122563358720 is 2785336522155.

It is a happy number.

55122563358720 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 2 + 5 + 6 + 33 + 587 + 20 = 666.

It is a super-2 number, since 2×55122563358720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 145442119491 + ... + 145442119869.

It is an arithmetic number, because the mean of its divisors is an integer number (87406581600).

Almost surely, 2^{55122563358720} 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 55122563358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117474445670400).

55122563358720 is an abundant number, since it is smaller than the sum of its proper divisors (179826327982080).

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

55122563358720 is a wasteful number, since it uses less digits than its factorization.

55122563358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 55122563358720 in words is "fifty-five trillion, one hundred twenty-two billion, five hundred sixty-three million, three hundred fifty-eight thousand, seven hundred twenty".