26221162000 has 320 divisors, whose sum is σ = 72660706560. Its totient is φ = 9063936000.

The previous prime is 26221161973. The next prime is 26221162001. The reversal of 26221162000 is 26112262.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (26221162001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46573719 + ... + 46574281.

It is an arithmetic number, because the mean of its divisors is an integer number (227064708).

Almost surely, 2^26221162000 is an apocalyptic number.

26221162000 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 26221162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36330353280).

26221162000 is an abundant number, since it is smaller than the sum of its proper divisors (46439544560).

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

26221162000 is a wasteful number, since it uses less digits than its factorization.

26221162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 26221162000 its reverse (26112262), we get a palindrome (26247274262).

The spelling of 26221162000 in words is "twenty-six billion, two hundred twenty-one million, one hundred sixty-two thousand".