81567787916160 has 2304 divisors, whose sum is σ = 369207913052160. Its totient is φ = 16841953050624.

The previous prime is 81567787916123. The next prime is 81567787916161. The reversal of 81567787916160 is 6161978776518.

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 (81567787916161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8647062804 + ... + 8647072236.

It is an arithmetic number, because the mean of its divisors is an integer number (160246490040).

Almost surely, 2^{81567787916160} is an apocalyptic number.

81567787916160 is a gapful number since it is divisible by the number (80) 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 81567787916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184603956526080).

81567787916160 is an abundant number, since it is smaller than the sum of its proper divisors (287640125136000).

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

81567787916160 is a wasteful number, since it uses less digits than its factorization.

81567787916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 81567787916160 in words is "eighty-one trillion, five hundred sixty-seven billion, seven hundred eighty-seven million, nine hundred sixteen thousand, one hundred sixty".