81392827815936 has 1536 divisors, whose sum is σ = 315492952320000. Its totient is φ = 20132698521600.

The previous prime is 81392827815931. The next prime is 81392827815953. The reversal of 81392827815936 is 63951872829318.

81392827815936 is a `hidden beast` number, since 8 + 1 + 3 + 9 + 2 + 8 + 27 + 8 + 1 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81392827815931) 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 127 ways as a sum of consecutive naturals, for example, 9656280970 + ... + 9656289398.

It is an arithmetic number, because the mean of its divisors is an integer number (205399057500).

Almost surely, 2^{81392827815936} 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 81392827815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157746476160000).

81392827815936 is an abundant number, since it is smaller than the sum of its proper divisors (234100124504064).

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

81392827815936 is a wasteful number, since it uses less digits than its factorization.

81392827815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600 (or 8574 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 81392827815936 in words is "eighty-one trillion, three hundred ninety-two billion, eight hundred twenty-seven million, eight hundred fifteen thousand, nine hundred thirty-six".