26853894144000 has 5760 divisors, whose sum is σ = 135938864355840. Its totient is φ = 5152702464000.

The previous prime is 26853894143971. The next prime is 26853894144019. The reversal of 26853894144000 is 44149835862.

26853894144000 is a `hidden beast` number, since 2 + 6 + 8 + 538 + 94 + 14 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×26853894144000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 506677247974 + ... + 506677248026.

It is an arithmetic number, because the mean of its divisors is an integer number (23600497284).

Almost surely, 2^{26853894144000} is an apocalyptic number.

26853894144000 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 26853894144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67969432177920).

26853894144000 is an abundant number, since it is smaller than the sum of its proper divisors (109084970211840).

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

26853894144000 is a wasteful number, since it uses less digits than its factorization.

26853894144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26853894144000 in words is "twenty-six trillion, eight hundred fifty-three billion, eight hundred ninety-four million, one hundred forty-four thousand".