26914140000 has 960 divisors, whose sum is σ = 112230074880. Its totient is φ = 6209280000.

The previous prime is 26914139981. The next prime is 26914140041. The reversal of 26914140000 is 4141962.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136619902 + ... + 136620098.

It is an arithmetic number, because the mean of its divisors is an integer number (116906328).

Almost surely, 2^26914140000 is an apocalyptic number.

26914140000 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 26914140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56115037440).

26914140000 is an abundant number, since it is smaller than the sum of its proper divisors (85315934880).

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

26914140000 is a wasteful number, since it uses less digits than its factorization.

26914140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 26914140000 its reverse (4141962), we get a palindrome (26918281962).

The spelling of 26914140000 in words is "twenty-six billion, nine hundred fourteen million, one hundred forty thousand".