26085556224 has 576 divisors, whose sum is σ = 96300852480. Its totient is φ = 6879707136.

The previous prime is 26085556223. The next prime is 26085556333. The reversal of 26085556224 is 42265558062.

It is a happy number.

26085556224 is a `hidden beast` number, since 2 + 6 + 0 + 85 + 5 + 562 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 26085556224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26085556223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006581242 + ... + 2006581254.

It is an arithmetic number, because the mean of its divisors is an integer number (167188980).

Almost surely, 2^26085556224 is an apocalyptic number.

26085556224 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 26085556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48150426240).

26085556224 is an abundant number, since it is smaller than the sum of its proper divisors (70215296256).

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

26085556224 is an frugal number, since it uses more digits than its factorization.

26085556224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 26085556224 in words is "twenty-six billion, eighty-five million, five hundred fifty-six thousand, two hundred twenty-four".