81328704366000 has 640 divisors, whose sum is σ = 322765441689600. Its totient is φ = 17156637388800.

The previous prime is 81328704365999. The next prime is 81328704366011. The reversal of 81328704366000 is 66340782318.

It is a super-2 number, since 2×81328704366000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6038207266 + ... + 6038220734.

It is an arithmetic number, because the mean of its divisors is an integer number (504321002640).

Almost surely, 2^{81328704366000} is an apocalyptic number.

81328704366000 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 81328704366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161382720844800).

81328704366000 is an abundant number, since it is smaller than the sum of its proper divisors (241436737323600).

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

81328704366000 is a wasteful number, since it uses less digits than its factorization.

81328704366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24574 (or 24558 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 81328704366000 in words is "eighty-one trillion, three hundred twenty-eight billion, seven hundred four million, three hundred sixty-six thousand".