26841456000 has 640 divisors, whose sum is σ = 101080980000. Its totient is φ = 7058534400.

The previous prime is 26841455987. The next prime is 26841456011. The reversal of 26841456000 is 65414862.

26841456000 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 1 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180143926 + ... + 180144074.

Almost surely, 2^26841456000 is an apocalyptic number.

26841456000 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 26841456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50540490000).

26841456000 is an abundant number, since it is smaller than the sum of its proper divisors (74239524000).

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

26841456000 is a wasteful number, since it uses less digits than its factorization.

26841456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 26841456000 in words is "twenty-six billion, eight hundred forty-one million, four hundred fifty-six thousand".