26348467488 has 192 divisors, whose sum is σ = 80916433920. Its totient is φ = 7351299072.

The previous prime is 26348467471. The next prime is 26348467513. The reversal of 26348467488 is 88476484362.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8083203 + ... + 8086461.

It is an arithmetic number, because the mean of its divisors is an integer number (421439760).

Almost surely, 2^26348467488 is an apocalyptic number.

26348467488 is a gapful number since it is divisible by the number (28) 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 26348467488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40458216960).

26348467488 is an abundant number, since it is smaller than the sum of its proper divisors (54567966432).

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

26348467488 is a wasteful number, since it uses less digits than its factorization.

26348467488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3551 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 60.

The spelling of 26348467488 in words is "twenty-six billion, three hundred forty-eight million, four hundred sixty-seven thousand, four hundred eighty-eight".