26348205312 has 1152 divisors, whose sum is σ = 102193459200. Its totient is φ = 6569164800.

The previous prime is 26348205283. The next prime is 26348205341. The reversal of 26348205312 is 21350284362.

26348205312 is a `hidden beast` number, since 2 + 63 + 48 + 20 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26348205283) and next prime (26348205341).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431937762 + ... + 431937822.

It is an arithmetic number, because the mean of its divisors is an integer number (88709600).

Almost surely, 2^26348205312 is an apocalyptic number.

26348205312 is a gapful number since it is divisible by the number (22) 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 26348205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51096729600).

26348205312 is an abundant number, since it is smaller than the sum of its proper divisors (75845253888).

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

26348205312 is a wasteful number, since it uses less digits than its factorization.

26348205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 26348205312 its reverse (21350284362), we get a palindrome (47698489674).

The spelling of 26348205312 in words is "twenty-six billion, three hundred forty-eight million, two hundred five thousand, three hundred twelve".