5417270217000 has 384 divisors, whose sum is σ = 18523706572800. Its totient is φ = 1427860224000.

The previous prime is 5417270216947. The next prime is 5417270217001. The reversal of 5417270217000 is 7120727145.

5417270217000 is a `hidden beast` number, since 5 + 417 + 2 + 70 + 2 + 170 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5417270217001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309744256 + ... + 309761744.

It is an arithmetic number, because the mean of its divisors is an integer number (48238819200).

Almost surely, 2^{5417270217000} is an apocalyptic number.

5417270217000 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 5417270217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261853286400).

5417270217000 is an abundant number, since it is smaller than the sum of its proper divisors (13106436355800).

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

5417270217000 is a wasteful number, since it uses less digits than its factorization.

5417270217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17914 (or 17897 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 5417270217000 in words is "five trillion, four hundred seventeen billion, two hundred seventy million, two hundred seventeen thousand".