21255226650000 has 1440 divisors, whose sum is σ = 93080997434880. Its totient is φ = 4414556160000.

The previous prime is 21255226649957. The next prime is 21255226650043. The reversal of 21255226650000 is 5662255212.

21255226650000 is a `hidden beast` number, since 2 + 1 + 25 + 522 + 66 + 50 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21255226649957) and next prime (21255226650043).

It is a super-5 number, since 5×21255226650000⁵ (a number of 68 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1552943157 + ... + 1552956843.

It is an arithmetic number, because the mean of its divisors is an integer number (64639581552).

Almost surely, 2^{21255226650000} is an apocalyptic number.

21255226650000 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 21255226650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46540498717440).

21255226650000 is an abundant number, since it is smaller than the sum of its proper divisors (71825770784880).

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

21255226650000 is a wasteful number, since it uses less digits than its factorization.

21255226650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13779 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 21255226650000 in words is "twenty-one trillion, two hundred fifty-five billion, two hundred twenty-six million, six hundred fifty thousand".