5733130838400 has 1536 divisors, whose sum is σ = 24682420224000. Its totient is φ = 1272443904000.

The previous prime is 5733130838399. The next prime is 5733130838419. The reversal of 5733130838400 is 48380313375.

5733130838400 is a `hidden beast` number, since 5 + 7 + 33 + 130 + 83 + 8 + 400 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3951157675 + ... + 3951159125.

It is an arithmetic number, because the mean of its divisors is an integer number (16069284000).

Almost surely, 2^{5733130838400} is an apocalyptic number.

5733130838400 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 5733130838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341210112000).

5733130838400 is an abundant number, since it is smaller than the sum of its proper divisors (18949289385600).

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

5733130838400 is a wasteful number, since it uses less digits than its factorization.

5733130838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5733130838400 in words is "five trillion, seven hundred thirty-three billion, one hundred thirty million, eight hundred thirty-eight thousand, four hundred".