81236679682560 has 320 divisors, whose sum is σ = 268730887265280. Its totient is φ = 20910498775040.

The previous prime is 81236679682547. The next prime is 81236679682583. The reversal of 81236679682560 is 6528697663218.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864329329 + ... + 864423311.

It is an arithmetic number, because the mean of its divisors is an integer number (839784022704).

Almost surely, 2^{81236679682560} is an apocalyptic number.

81236679682560 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 81236679682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134365443632640).

81236679682560 is an abundant number, since it is smaller than the sum of its proper divisors (187494207582720).

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

81236679682560 is a wasteful number, since it uses less digits than its factorization.

81236679682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97919 (or 97903 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 81236679682560 in words is "eighty-one trillion, two hundred thirty-six billion, six hundred seventy-nine million, six hundred eighty-two thousand, five hundred sixty".