55117105316000 has 288 divisors, whose sum is σ = 169650458005392. Its totient is φ = 17443654502400.

The previous prime is 55117105315981. The next prime is 55117105316003. The reversal of 55117105316000 is 61350171155.

It can be written as a sum of positive squares in 8 ways, for example, as 232181349904 + 54884923966096 = 481852^2 + 7408436^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (55117105316003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8267759 + ... + 13363758.

Almost surely, 2^{55117105316000} is an apocalyptic number.

55117105316000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55117105316000 is an abundant number, since it is smaller than the sum of its proper divisors (114533352689392).

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

55117105316000 is a wasteful number, since it uses less digits than its factorization.

55117105316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21631569 (or 21631544 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 35.

Adding to 55117105316000 its reverse (61350171155), we get a palindrome (55178455487155).

The spelling of 55117105316000 in words is "fifty-five trillion, one hundred seventeen billion, one hundred five million, three hundred sixteen thousand".