5395910868100 has 81 divisors (see below), whose sum is σ = 11795805000847. Its totient is φ = 2142503517760.

The previous prime is 5395910868097. The next prime is 5395910868107. The reversal of 5395910868100 is 18680195935.

The square root of 5395910868100 is 2322910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1610426988676 + 3785483879424 = 1269026^2 + 1945632^2 .

It is a super-2 number, since 2×5395910868100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5395910868107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3461135121 + ... + 3461136679.

Almost surely, 2^{5395910868100} is an apocalyptic number.

5395910868100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5395910868100 is the 2322910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5395910868100

5395910868100 is an abundant number, since it is smaller than the sum of its proper divisors (6399894132747).

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

5395910868100 is an equidigital number, since it uses as much as digits as its factorization.

5395910868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 5395910868100 in words is "five trillion, three hundred ninety-five billion, nine hundred ten million, eight hundred sixty-eight thousand, one hundred".