5417100000 has 432 divisors, whose sum is σ = 20780794944. Its totient is φ = 1330560000.

The previous prime is 5417099999. The next prime is 5417100019. The reversal of 5417100000 is 17145.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11699769 + ... + 11700231.

It is an arithmetic number, because the mean of its divisors is an integer number (48103692).

Almost surely, 2^5417100000 is an apocalyptic number.

5417100000 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 5417100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10390397472).

5417100000 is an abundant number, since it is smaller than the sum of its proper divisors (15363694944).

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

5417100000 is a wasteful number, since it uses less digits than its factorization.

5417100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 5417100000 is about 73600.9510808114. The cubic root of 5417100000 is about 1756.2605695003.

Adding to 5417100000 its reverse (17145), we get a palindrome (5417117145).

The spelling of 5417100000 in words is "five billion, four hundred seventeen million, one hundred thousand".