26224580900 has 144 divisors (see below), whose sum is σ = 68814345600. Its totient is φ = 8473973760.

The previous prime is 26224580873. The next prime is 26224580917. The reversal of 26224580900 is 908542262.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2615096 + ... + 2625104.

It is an arithmetic number, because the mean of its divisors is an integer number (477877400).

Almost surely, 2^26224580900 is an apocalyptic number.

26224580900 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 26224580900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34407172800).

26224580900 is an abundant number, since it is smaller than the sum of its proper divisors (42589764700).

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

26224580900 is a wasteful number, since it uses less digits than its factorization.

26224580900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 26224580900 in words is "twenty-six billion, two hundred twenty-four million, five hundred eighty thousand, nine hundred".