26873856000 has 576 divisors, whose sum is σ = 100609069860. Its totient is φ = 7166361600.

The previous prime is 26873855999. The next prime is 26873856001. The reversal of 26873856000 is 65837862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (3!)² ⋅ 2!.

26873856000 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 38 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26873855999) and next prime (26873856001).

It can be written as a sum of positive squares in 2 ways, for example, as 18166726656 + 8707129344 = 134784^2 + 93312^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26873856001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5374771198 + ... + 5374771202.

Almost surely, 2^26873856000 is an apocalyptic number.

26873856000 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 26873856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50304534930).

26873856000 is an abundant number, since it is smaller than the sum of its proper divisors (73735213860).

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

26873856000 is an frugal number, since it uses more digits than its factorization.

26873856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26873856000 in words is "twenty-six billion, eight hundred seventy-three million, eight hundred fifty-six thousand".