5411857795600 has 135 divisors (see below), whose sum is σ = 13331543864821. Its totient is φ = 2111200076800.

The previous prime is 5411857795549. The next prime is 5411857795601. The reversal of 5411857795600 is 65977581145.

The square root of 5411857795600 is 2326340.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4076409456144 + 1335448339456 = 2019012^2 + 1155616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5411857795601) 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, 1907597382 + ... + 1907600218.

Almost surely, 2^{5411857795600} is an apocalyptic number.

5411857795600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5411857795600 is the 2326340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5411857795600

5411857795600 is an abundant number, since it is smaller than the sum of its proper divisors (7919686069221).

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

5411857795600 is an frugal number, since it uses more digits than its factorization.

5411857795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 58.

The spelling of 5411857795600 in words is "five trillion, four hundred eleven billion, eight hundred fifty-seven million, seven hundred ninety-five thousand, six hundred".