26457506000 has 80 divisors (see below), whose sum is σ = 64025158080. Its totient is φ = 10574582400.

The previous prime is 26457505993. The next prime is 26457506003. The reversal of 26457506000 is 60575462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26457506003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2913467 + ... + 2922533.

It is an arithmetic number, because the mean of its divisors is an integer number (800314476).

Almost surely, 2^26457506000 is an apocalyptic number.

26457506000 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 26457506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32012579040).

26457506000 is an abundant number, since it is smaller than the sum of its proper divisors (37567652080).

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

26457506000 is a wasteful number, since it uses less digits than its factorization.

26457506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 26457506000 in words is "twenty-six billion, four hundred fifty-seven million, five hundred six thousand".