5217009840 has 240 divisors, whose sum is σ = 20669915136. Its totient is φ = 1153958400.

The previous prime is 5217009803. The next prime is 5217009851. The reversal of 5217009840 is 489007125.

5217009840 is a `hidden beast` number, since 521 + 7 + 0 + 0 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5217009795 and 5217009804.

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, 139545 + ... + 172935.

Almost surely, 2^5217009840 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 5217009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334957568).

5217009840 is an abundant number, since it is smaller than the sum of its proper divisors (15452905296).

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

5217009840 is a wasteful number, since it uses less digits than its factorization.

5217009840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33448 (or 33439 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5217009840 is about 72228.8712358154. The cubic root of 5217009840 is about 1734.3652044638.

The spelling of 5217009840 in words is "five billion, two hundred seventeen million, nine thousand, eight hundred forty".