5733615045600 has 576 divisors, whose sum is σ = 22935296422080. Its totient is φ = 1373204275200.

The previous prime is 5733615045541. The next prime is 5733615045611. The reversal of 5733615045600 is 65405163375.

5733615045600 is a `hidden beast` number, since 5 + 7 + 3 + 36 + 1 + 5 + 0 + 4 + 5 + 600 = 666.

It is a super-2 number, since 2×5733615045600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10113670 + ... + 10665530.

It is an arithmetic number, because the mean of its divisors is an integer number (39818222955).

Almost surely, 2^{5733615045600} is an apocalyptic number.

5733615045600 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 5733615045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467648211040).

5733615045600 is an abundant number, since it is smaller than the sum of its proper divisors (17201681376480).

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

5733615045600 is a wasteful number, since it uses less digits than its factorization.

5733615045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551940 (or 551921 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 5733615045600 in words is "five trillion, seven hundred thirty-three billion, six hundred fifteen million, forty-five thousand, six hundred".