26913787011072 has 896 divisors, whose sum is σ = 87392426688000. Its totient is φ = 8136032256000.

The previous prime is 26913787010993. The next prime is 26913787011073. The reversal of 26913787011072 is 27011078731962.

26913787011072 is a `hidden beast` number, since 2 + 6 + 91 + 378 + 7 + 0 + 110 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26913787011073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64233381679 + ... + 64233382097.

It is an arithmetic number, because the mean of its divisors is an integer number (97536190500).

Almost surely, 2^{26913787011072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26913787011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696213344000).

26913787011072 is an abundant number, since it is smaller than the sum of its proper divisors (60478639676928).

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

26913787011072 is a wasteful number, since it uses less digits than its factorization.

26913787011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 26913787011072 in words is "twenty-six trillion, nine hundred thirteen billion, seven hundred eighty-seven million, eleven thousand, seventy-two".