5417930880 has 384 divisors, whose sum is σ = 19313985600. Its totient is φ = 1398988800.

The previous prime is 5417930873. The next prime is 5417930893. The reversal of 5417930880 is 880397145.

5417930880 is a `hidden beast` number, since 541 + 79 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38977851 + ... + 38977989.

Almost surely, 2^5417930880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5417930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656992800).

5417930880 is an abundant number, since it is smaller than the sum of its proper divisors (13896054720).

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

5417930880 is a wasteful number, since it uses less digits than its factorization.

5417930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5417930880 is about 73606.5953566662. The cubic root of 5417930880 is about 1756.3503572207.

The spelling of 5417930880 in words is "five billion, four hundred seventeen million, nine hundred thirty thousand, eight hundred eighty".