26288073408 has 224 divisors, whose sum is σ = 73409495040. Its totient is φ = 8292049920.

The previous prime is 26288073407. The next prime is 26288073433. The reversal of 26288073408 is 80437088262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26288073407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62739823 + ... + 62740241.

It is an arithmetic number, because the mean of its divisors is an integer number (327720960).

Almost surely, 2^26288073408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26288073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704747520).

26288073408 is an abundant number, since it is smaller than the sum of its proper divisors (47121421632).

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

26288073408 is a wasteful number, since it uses less digits than its factorization.

26288073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 26288073408 in words is "twenty-six billion, two hundred eighty-eight million, seventy-three thousand, four hundred eight".