26710848000 has 480 divisors, whose sum is σ = 97591253760. Its totient is φ = 7020748800.

The previous prime is 26710847987. The next prime is 26710848019. The reversal of 26710848000 is 84801762.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45503707 + ... + 45504293.

It is an arithmetic number, because the mean of its divisors is an integer number (203315112).

Almost surely, 2^26710848000 is an apocalyptic number.

26710848000 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 26710848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48795626880).

26710848000 is an abundant number, since it is smaller than the sum of its proper divisors (70880405760).

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

26710848000 is an equidigital number, since it uses as much as digits as its factorization.

26710848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 26710848000 in words is "twenty-six billion, seven hundred ten million, eight hundred forty-eight thousand".