26123464224 has 672 divisors, whose sum is σ = 93286867968. Its totient is φ = 7091712000.

The previous prime is 26123464223. The next prime is 26123464229. The reversal of 26123464224 is 42246432162.

26123464224 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 3 + 4 + 642 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26123464223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 136771969 + ... + 136772159.

It is an arithmetic number, because the mean of its divisors is an integer number (138819744).

Almost surely, 2^26123464224 is an apocalyptic number.

26123464224 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 26123464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46643433984).

26123464224 is an abundant number, since it is smaller than the sum of its proper divisors (67163403744).

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

26123464224 is a wasteful number, since it uses less digits than its factorization.

26123464224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 26123464224 its reverse (42246432162), we get a palindrome (68369896386).

The spelling of 26123464224 in words is "twenty-six billion, one hundred twenty-three million, four hundred sixty-four thousand, two hundred twenty-four".