26213255346600 has 576 divisors, whose sum is σ = 105446019594240. Its totient is φ = 5705835379200.

The previous prime is 26213255346497. The next prime is 26213255346643. The reversal of 26213255346600 is 664355231262.

26213255346600 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 3 + 2 + 5 + 5 + 34 + 6 + 600 = 666.

It is a super-2 number, since 2×26213255346600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65585365 + ... + 65983835.

It is an arithmetic number, because the mean of its divisors is an integer number (183066006240).

Almost surely, 2^{26213255346600} is an apocalyptic number.

26213255346600 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 26213255346600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52723009797120).

26213255346600 is an abundant number, since it is smaller than the sum of its proper divisors (79232764247640).

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

26213255346600 is a wasteful number, since it uses less digits than its factorization.

26213255346600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398750 (or 398738 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 26213255346600 in words is "twenty-six trillion, two hundred thirteen billion, two hundred fifty-five million, three hundred forty-six thousand, six hundred".