55845586365120 has 672 divisors, whose sum is σ = 204406014758400. Its totient is φ = 14504181719040.

The previous prime is 55845586365089. The next prime is 55845586365187. The reversal of 55845586365120 is 2156368554855.

55845586365120 is a `hidden beast` number, since 5 + 5 + 8 + 4 + 5 + 5 + 86 + 36 + 512 + 0 = 666.

It is a super-2 number, since 2×55845586365120² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1909693219 + ... + 1909722461.

It is an arithmetic number, because the mean of its divisors is an integer number (304175617200).

Almost surely, 2^{55845586365120} 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 55845586365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102203007379200).

55845586365120 is an abundant number, since it is smaller than the sum of its proper divisors (148560428393280).

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

55845586365120 is a wasteful number, since it uses less digits than its factorization.

55845586365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29915 (or 29893 counting only the distinct ones).

The product of its (nonzero) digits is 172800000, while the sum is 63.

The spelling of 55845586365120 in words is "fifty-five trillion, eight hundred forty-five billion, five hundred eighty-six million, three hundred sixty-five thousand, one hundred twenty".