5053324161600 has 1701 divisors, whose sum is σ = 21541792550187. Its totient is φ = 1122181632000.

The previous prime is 5053324161563. The next prime is 5053324161619. The reversal of 5053324161600 is 61614233505.

The square root of 5053324161600 is 2247960.

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

5053324161600 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 3 + 2 + 41 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1302501777984 + 3750822383616 = 1141272^2 + 1936704^2 .

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

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 242 ways as a sum of consecutive naturals, for example, 38574993535 + ... + 38574993665.

Almost surely, 2^{5053324161600} is an apocalyptic number.

5053324161600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5053324161600 is the 2247960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5053324161600

5053324161600 is an abundant number, since it is smaller than the sum of its proper divisors (16488468388587).

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

5053324161600 is a wasteful number, since it uses less digits than its factorization.

5053324161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 5053324161600 by its sum of digits (36), we get a square (181919669817600 = 13487760²).

5053324161600 divided by its sum of digits (36) gives a square (140370115600 = 374660²).

The spelling of 5053324161600 in words is "five trillion, fifty-three billion, three hundred twenty-four million, one hundred sixty-one thousand, six hundred".