81027126575136 has 288 divisors, whose sum is σ = 274927463314560. Its totient is φ = 23149428825600.

The previous prime is 81027126575111. The next prime is 81027126575149. The reversal of 81027126575136 is 63157562172018.

81027126575136 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 71 + 2 + 6 + 57 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×81027126575136³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 1154509966 + ... + 1154580146.

It is an arithmetic number, because the mean of its divisors is an integer number (954609247620).

Almost surely, 2^{81027126575136} 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 81027126575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137463731657280).

81027126575136 is an abundant number, since it is smaller than the sum of its proper divisors (193900336739424).

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

81027126575136 is a wasteful number, since it uses less digits than its factorization.

81027126575136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97485 (or 97464 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 81027126575136 in words is "eighty-one trillion, twenty-seven billion, one hundred twenty-six million, five hundred seventy-five thousand, one hundred thirty-six".