55010517007000 has 256 divisors, whose sum is σ = 140797506769920. Its totient is φ = 20056595328000.

The previous prime is 55010517006997. The next prime is 55010517007009. The reversal of 55010517007000 is 70071501055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55010517007009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39870679 + ... + 41227321.

It is an arithmetic number, because the mean of its divisors is an integer number (549990260820).

Almost surely, 2^{55010517007000} is an apocalyptic number.

55010517007000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55010517007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398753384960).

55010517007000 is an abundant number, since it is smaller than the sum of its proper divisors (85786989762920).

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

55010517007000 is a wasteful number, since it uses less digits than its factorization.

55010517007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356771 (or 1356757 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 31.

Adding to 55010517007000 its reverse (70071501055), we get a palindrome (55080588508055).

The spelling of 55010517007000 in words is "fifty-five trillion, ten billion, five hundred seventeen million, seven thousand".