26541408000 has 288 divisors, whose sum is σ = 89246207232. Its totient is φ = 6990336000.

The previous prime is 26541407993. The next prime is 26541408017. The reversal of 26541408000 is 80414562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 7966335 + ... + 7969665.

It is an arithmetic number, because the mean of its divisors is an integer number (309882664).

Almost surely, 2^26541408000 is an apocalyptic number.

26541408000 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 26541408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44623103616).

26541408000 is an abundant number, since it is smaller than the sum of its proper divisors (62704799232).

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

26541408000 is an equidigital number, since it uses as much as digits as its factorization.

26541408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 26541408000 in words is "twenty-six billion, five hundred forty-one million, four hundred eight thousand".