26674225240320 has 4320 divisors, whose sum is σ = 124822816183296. Its totient is φ = 5417769369600.

The previous prime is 26674225240291. The next prime is 26674225240357. The reversal of 26674225240320 is 2304252247662.

26674225240320 is a `hidden beast` number, since 2 + 6 + 6 + 74 + 2 + 252 + 4 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 650590859500 + ... + 650590859540.

Almost surely, 2^{26674225240320} is an apocalyptic number.

26674225240320 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 26674225240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411408091648).

26674225240320 is an abundant number, since it is smaller than the sum of its proper divisors (98148590942976).

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

26674225240320 is an frugal number, since it uses more digits than its factorization.

26674225240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 26674225240320 its reverse (2304252247662), we get a palindrome (28978477487982).

The spelling of 26674225240320 in words is "twenty-six trillion, six hundred seventy-four billion, two hundred twenty-five million, two hundred forty thousand, three hundred twenty".