5381044905600 has 1728 divisors, whose sum is σ = 24320815421760. Its totient is φ = 1108636139520.

The previous prime is 5381044905559. The next prime is 5381044905619. The reversal of 5381044905600 is 65094401835.

5381044905600 is a `hidden beast` number, since 5 + 3 + 8 + 104 + 490 + 56 + 0 + 0 = 666.

It is a super-2 number, since 2×5381044905600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1465025364 + ... + 1465029036.

Almost surely, 2^{5381044905600} is an apocalyptic number.

5381044905600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5381044905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160407710880).

5381044905600 is an abundant number, since it is smaller than the sum of its proper divisors (18939770516160).

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

5381044905600 is a wasteful number, since it uses less digits than its factorization.

5381044905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5381044905600 in words is "five trillion, three hundred eighty-one billion, forty-four million, nine hundred five thousand, six hundred".