5094233726400 has 3024 divisors, whose sum is σ = 23951312601216. Its totient is φ = 1055336325120.

The previous prime is 5094233726359. The next prime is 5094233726419. The reversal of 5094233726400 is 46273324905.

5094233726400 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 233 + 7 + 2 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 16593595047 + ... + 16593595353.

Almost surely, 2^{5094233726400} is an apocalyptic number.

5094233726400 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 5094233726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975656300608).

5094233726400 is an abundant number, since it is smaller than the sum of its proper divisors (18857078874816).

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

5094233726400 is a wasteful number, since it uses less digits than its factorization.

5094233726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 5094233726400 in words is "five trillion, ninety-four billion, two hundred thirty-three million, seven hundred twenty-six thousand, four hundred".