26972788803840 has 1728 divisors, whose sum is σ = 117676427581440. Its totient is φ = 5830074040320.

The previous prime is 26972788803797. The next prime is 26972788803869. The reversal of 26972788803840 is 4830888727962.

26972788803840 is a `hidden beast` number, since 2 + 6 + 97 + 2 + 7 + 88 + 80 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×26972788803840³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1105112917 + ... + 1105137323.

It is an arithmetic number, because the mean of its divisors is an integer number (68099784480).

Almost surely, 2^{26972788803840} is an apocalyptic number.

26972788803840 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 26972788803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58838213790720).

26972788803840 is an abundant number, since it is smaller than the sum of its proper divisors (90703638777600).

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

26972788803840 is a wasteful number, since it uses less digits than its factorization.

26972788803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24490 (or 24464 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 26972788803840 in words is "twenty-six trillion, nine hundred seventy-two billion, seven hundred eighty-eight million, eight hundred three thousand, eight hundred forty".