81995027685480 has 1536 divisors, whose sum is σ = 366483795148800. Its totient is φ = 15860613888000.

The previous prime is 81995027685479. The next prime is 81995027685481. The reversal of 81995027685480 is 8458672059918.

81995027685480 is a `hidden beast` number, since 8 + 1 + 9 + 9 + 5 + 0 + 2 + 76 + 8 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81995027685479) and next prime (81995027685481).

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

It is a junction number, because it is equal to n+sod(n) for n = 81995027685399 and 81995027685408.

It is not an unprimeable number, because it can be changed into a prime (81995027685481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1099814205 + ... + 1099888755.

It is an arithmetic number, because the mean of its divisors is an integer number (238596220800).

Almost surely, 2^{81995027685480} 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 81995027685480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183241897574400).

81995027685480 is an abundant number, since it is smaller than the sum of its proper divisors (284488767463320).

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

81995027685480 is a wasteful number, since it uses less digits than its factorization.

81995027685480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74660 (or 74631 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 81995027685480 in words is "eighty-one trillion, nine hundred ninety-five billion, twenty-seven million, six hundred eighty-five thousand, four hundred eighty".