81970289336320 has 1344 divisors, whose sum is σ = 255360076276032. Its totient is φ = 24970788864000.

The previous prime is 81970289336303. The next prime is 81970289336321. The reversal of 81970289336320 is 2363398207918.

81970289336320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×81970289336320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81970289336321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291709214580 + ... + 291709214860.

It is an arithmetic number, because the mean of its divisors is an integer number (190000056753).

Almost surely, 2^{81970289336320} is an apocalyptic number.

81970289336320 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 81970289336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680038138016).

81970289336320 is an abundant number, since it is smaller than the sum of its proper divisors (173389786939712).

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

81970289336320 is a wasteful number, since it uses less digits than its factorization.

81970289336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 81970289336320 in words is "eighty-one trillion, nine hundred seventy billion, two hundred eighty-nine million, three hundred thirty-six thousand, three hundred twenty".