26221830624 has 648 divisors, whose sum is σ = 90858189240. Its totient is φ = 7424524800.

The previous prime is 26221830623. The next prime is 26221830667. The reversal of 26221830624 is 42603812262.

26221830624 is a `hidden beast` number, since 2 + 6 + 2 + 21 + 8 + 3 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26221830623) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 845865489 + ... + 845865519.

It is an arithmetic number, because the mean of its divisors is an integer number (140213255).

Almost surely, 2^26221830624 is an apocalyptic number.

26221830624 is a gapful number since it is divisible by the number (24) 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 26221830624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45429094620).

26221830624 is an abundant number, since it is smaller than the sum of its proper divisors (64636358616).

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

26221830624 is a wasteful number, since it uses less digits than its factorization.

26221830624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26221830624 in words is "twenty-six billion, two hundred twenty-one million, eight hundred thirty thousand, six hundred twenty-four".