5217586905088 has 72 divisors (see below), whose sum is σ = 10538478900180. Its totient is φ = 2582957260800.

The previous prime is 5217586905061. The next prime is 5217586905101. The reversal of 5217586905088 is 8805096857125.

It can be written as a sum of positive squares in 2 ways, for example, as 4839155236864 + 378431668224 = 2199808^2 + 615168^2 .

It is a super-2 number, since 2×5217586905088² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13041208 + ... + 13435336.

Almost surely, 2^{5217586905088} 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 5217586905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269239450090).

5217586905088 is an abundant number, since it is smaller than the sum of its proper divisors (5320891995092).

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

5217586905088 is an frugal number, since it uses more digits than its factorization.

5217586905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394264 (or 394232 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 64.

The spelling of 5217586905088 in words is "five trillion, two hundred seventeen billion, five hundred eighty-six million, nine hundred five thousand, eighty-eight".