5417880000 has 560 divisors, whose sum is σ = 20262713856. Its totient is φ = 1267200000.

The previous prime is 5417879941. The next prime is 5417880011. The reversal of 5417880000 is 887145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35879925 + ... + 35880075.

Almost surely, 2^5417880000 is an apocalyptic number.

5417880000 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 5417880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131356928).

5417880000 is an abundant number, since it is smaller than the sum of its proper divisors (14844833856).

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

5417880000 is a wasteful number, since it uses less digits than its factorization.

5417880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 5417880000 is about 73606.2497346523. The cubic root of 5417880000 is about 1756.3448592186.

The spelling of 5417880000 in words is "five billion, four hundred seventeen million, eight hundred eighty thousand".