26854990848000 has 2688 divisors, whose sum is σ = 119876930574336. Its totient is φ = 5643436032000.

The previous prime is 26854990847957. The next prime is 26854990848029. The reversal of 26854990848000 is 84809945862.

26854990848000 is a `hidden beast` number, since 2 + 6 + 8 + 549 + 9 + 0 + 8 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51545087740 + ... + 51545088260.

Almost surely, 2^{26854990848000} is an apocalyptic number.

26854990848000 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 26854990848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59938465287168).

26854990848000 is an abundant number, since it is smaller than the sum of its proper divisors (93021939726336).

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

26854990848000 is a wasteful number, since it uses less digits than its factorization.

26854990848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 26854990848000 in words is "twenty-six trillion, eight hundred fifty-four billion, nine hundred ninety million, eight hundred forty-eight thousand".