216126825800 has 108 divisors (see below), whose sum is σ = 510775124985. Its totient is φ = 85049025600.

The previous prime is 216126825763. The next prime is 216126825899. The reversal of 216126825800 is 8528621612.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 211804289284 + 4322536516 = 460222^2 + 65746^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=328730.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 466796369 + ... + 466796831.

Almost surely, 2^216126825800 is an apocalyptic number.

216126825800 is a gapful number since it is divisible by the number (20) 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 216126825800

216126825800 is an abundant number, since it is smaller than the sum of its proper divisors (294648299185).

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

216126825800 is an frugal number, since it uses more digits than its factorization.

216126825800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 216126825800 in words is "two hundred sixteen billion, one hundred twenty-six million, eight hundred twenty-five thousand, eight hundred".