81930660084000 has 1536 divisors, whose sum is σ = 375587326033920. Its totient is φ = 16884370944000.

The previous prime is 81930660083977. The next prime is 81930660084001. The reversal of 81930660084000 is 48006603918.

81930660084000 is a `hidden beast` number, since 8 + 1 + 9 + 30 + 6 + 600 + 8 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (81930660084001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 422507065 + ... + 422700935.

It is an arithmetic number, because the mean of its divisors is an integer number (244522998720).

Almost surely, 2^{81930660084000} is an apocalyptic number.

81930660084000 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 81930660084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187793663016960).

81930660084000 is an abundant number, since it is smaller than the sum of its proper divisors (293656665949920).

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

81930660084000 is a wasteful number, since it uses less digits than its factorization.

81930660084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193968 (or 193944 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 81930660084000 its reverse (48006603918), we get a palindrome (81978666687918).

The spelling of 81930660084000 in words is "eighty-one trillion, nine hundred thirty billion, six hundred sixty million, eighty-four thousand".