80860700633328 has 1080 divisors, whose sum is σ = 291328660022400. Its totient is φ = 20920858801920.

The previous prime is 80860700633327. The next prime is 80860700633353. The reversal of 80860700633328 is 82333600706808.

80860700633328 is a `hidden beast` number, since 8 + 0 + 8 + 607 + 0 + 0 + 6 + 3 + 3 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80860700633327) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 122702125063 + ... + 122702125721.

It is an arithmetic number, because the mean of its divisors is an integer number (269748759280).

Almost surely, 2^{80860700633328} is an apocalyptic number.

80860700633328 is a gapful number since it is divisible by the number (88) 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 80860700633328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145664330011200).

80860700633328 is an abundant number, since it is smaller than the sum of its proper divisors (210467959389072).

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

80860700633328 is a wasteful number, since it uses less digits than its factorization.

80860700633328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 80860700633328 in words is "eighty trillion, eight hundred sixty billion, seven hundred million, six hundred thirty-three thousand, three hundred twenty-eight".