5726206886400 has 5760 divisors, whose sum is σ = 30638934982656. Its totient is φ = 980995276800.

The previous prime is 5726206886381. The next prime is 5726206886429. The reversal of 5726206886400 is 46886026275.

5726206886400 is a `hidden beast` number, since 5 + 7 + 2 + 620 + 6 + 8 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45088243137 + ... + 45088243263.

Almost surely, 2^{5726206886400} is an apocalyptic number.

5726206886400 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 5726206886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319467491328).

5726206886400 is an abundant number, since it is smaller than the sum of its proper divisors (24912728096256).

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

5726206886400 is a wasteful number, since it uses less digits than its factorization.

5726206886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5726206886400 in words is "five trillion, seven hundred twenty-six billion, two hundred six million, eight hundred eighty-six thousand, four hundred".