5733006854400 has 2592 divisors, whose sum is σ = 25606387975168. Its totient is φ = 1241572147200.

The previous prime is 5733006854381. The next prime is 5733006854401. The reversal of 5733006854400 is 44586003375.

5733006854400 is a `hidden beast` number, since 5 + 73 + 30 + 0 + 6 + 8 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×5733006854400³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5733006854401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17320262235 + ... + 17320262565.

Almost surely, 2^{5733006854400} is an apocalyptic number.

5733006854400 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 5733006854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803193987584).

5733006854400 is an abundant number, since it is smaller than the sum of its proper divisors (19873381120768).

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

5733006854400 is a wasteful number, since it uses less digits than its factorization.

5733006854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5733006854400 in words is "five trillion, seven hundred thirty-three billion, six million, eight hundred fifty-four thousand, four hundred".