26221645200 has 120 divisors (see below), whose sum is σ = 84395573536. Its totient is φ = 6959232000.

The previous prime is 26221645171. The next prime is 26221645217. The reversal of 26221645200 is 254612262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201420 + ... + 304980.

Almost surely, 2^26221645200 is an apocalyptic number.

26221645200 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 26221645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42197786768).

26221645200 is an abundant number, since it is smaller than the sum of its proper divisors (58173928336).

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

26221645200 is a wasteful number, since it uses less digits than its factorization.

26221645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103793 (or 103782 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 26221645200 in words is "twenty-six billion, two hundred twenty-one million, six hundred forty-five thousand, two hundred".