80824068864000 has 3072 divisors, whose sum is σ = 394482899865600. Its totient is φ = 15804923904000.

The previous prime is 80824068863999. The next prime is 80824068864023. The reversal of 80824068864000 is 46886042808.

80824068864000 is a `hidden beast` number, since 80 + 8 + 24 + 0 + 68 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×80824068864000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9047803534 + ... + 9047812466.

It is an arithmetic number, because the mean of its divisors is an integer number (128412402300).

Almost surely, 2^{80824068864000} is an apocalyptic number.

80824068864000 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 80824068864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197241449932800).

80824068864000 is an abundant number, since it is smaller than the sum of its proper divisors (313658831001600).

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

80824068864000 is a wasteful number, since it uses less digits than its factorization.

80824068864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9014 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 80824068864000 in words is "eighty trillion, eight hundred twenty-four billion, sixty-eight million, eight hundred sixty-four thousand".