26305261312 has 72 divisors (see below), whose sum is σ = 58220617392. Its totient is φ = 11760844800.

The previous prime is 26305261291. The next prime is 26305261343. The reversal of 26305261312 is 21316250362.

It is a happy number.

It is a super-2 number, since 2×26305261312² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95208 + ... + 248344.

It is an arithmetic number, because the mean of its divisors is an integer number (808619686).

Almost surely, 2^26305261312 is an apocalyptic number.

26305261312 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 26305261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29110308696).

26305261312 is an abundant number, since it is smaller than the sum of its proper divisors (31915356080).

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

26305261312 is a wasteful number, since it uses less digits than its factorization.

26305261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153225 (or 153211 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 26305261312 in words is "twenty-six billion, three hundred five million, two hundred sixty-one thousand, three hundred twelve".