5229093326400 has 672 divisors, whose sum is σ = 19429756416000. Its totient is φ = 1367773102080.

The previous prime is 5229093326393. The next prime is 5229093326423. The reversal of 5229093326400 is 46233909225.

5229093326400 is a `hidden beast` number, since 52 + 2 + 90 + 93 + 3 + 26 + 400 = 666.

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

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, 488284246 + ... + 488294954.

It is an arithmetic number, because the mean of its divisors is an integer number (28913328000).

Almost surely, 2^{5229093326400} is an apocalyptic number.

5229093326400 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 5229093326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9714878208000).

5229093326400 is an abundant number, since it is smaller than the sum of its proper divisors (14200663089600).

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

5229093326400 is a wasteful number, since it uses less digits than its factorization.

5229093326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 5229093326400 in words is "five trillion, two hundred twenty-nine billion, ninety-three million, three hundred twenty-six thousand, four hundred".