5417921952 has 192 divisors, whose sum is σ = 16655708160. Its totient is φ = 1710035712.

The previous prime is 5417921939. The next prime is 5417921983. The reversal of 5417921952 is 2591297145.

5417921952 is a `hidden beast` number, since 541 + 7 + 92 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5417921898 and 5417921907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045493 + ... + 2048139.

It is an arithmetic number, because the mean of its divisors is an integer number (86748480).

Almost surely, 2^5417921952 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 5417921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327854080).

5417921952 is an abundant number, since it is smaller than the sum of its proper divisors (11237786208).

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

5417921952 is a wasteful number, since it uses less digits than its factorization.

5417921952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2778 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 5417921952 is about 73606.5347099019. The cubic root of 5417921952 is about 1756.3493924795.

It can be divided in two parts, 5417 and 921952, that added together give a square (927369 = 963²).

The spelling of 5417921952 in words is "five billion, four hundred seventeen million, nine hundred twenty-one thousand, nine hundred fifty-two".