5417121600 has 378 divisors, whose sum is σ = 21169997030. Its totient is φ = 1312819200.

The previous prime is 5417121599. The next prime is 5417121607. The reversal of 5417121600 is 61217145.

It is a happy number.

5417121600 is a `hidden beast` number, since 5 + 41 + 7 + 12 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 5386385664 = 5544^2 + 73392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417121607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1740846 + ... + 1743954.

Almost surely, 2^5417121600 is an apocalyptic number.

5417121600 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 5417121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584998515).

5417121600 is an abundant number, since it is smaller than the sum of its proper divisors (15752875430).

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

5417121600 is a wasteful number, since it uses less digits than its factorization.

5417121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5417121600 is about 73601.0978178994. The cubic root of 5417121600 is about 1756.2629037860.

Adding to 5417121600 its reverse (61217145), we get a palindrome (5478338745).

The spelling of 5417121600 in words is "five billion, four hundred seventeen million, one hundred twenty-one thousand, six hundred".