26349101001000 has 384 divisors, whose sum is σ = 92982258720000. Its totient is φ = 6717305126400.

The previous prime is 26349101000947. The next prime is 26349101001071. The reversal of 26349101001000 is 10010194362.

26349101001000 is a `hidden beast` number, since 2 + 63 + 491 + 0 + 10 + 0 + 100 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394715626 + ... + 394782374.

It is an arithmetic number, because the mean of its divisors is an integer number (242141298750).

Almost surely, 2^{26349101001000} is an apocalyptic number.

26349101001000 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 26349101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46491129360000).

26349101001000 is an abundant number, since it is smaller than the sum of its proper divisors (66633157719000).

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

26349101001000 is a wasteful number, since it uses less digits than its factorization.

26349101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68706 (or 68689 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 26349101001000 its reverse (10010194362), we get a palindrome (26359111195362).

The spelling of 26349101001000 in words is "twenty-six trillion, three hundred forty-nine billion, one hundred one million, one thousand".