80658623232000 has 5760 divisors, whose sum is σ = 367138296645120. Its totient is φ = 17517772800000.

The previous prime is 80658623231971. The next prime is 80658623232001. The reversal of 80658623232000 is 23232685608.

80658623232000 is a `hidden beast` number, since 8 + 0 + 6 + 586 + 2 + 32 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80658623232001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1322272511970 + ... + 1322272512030.

It is an arithmetic number, because the mean of its divisors is an integer number (63739287612).

Almost surely, 2^{80658623232000} is an apocalyptic number.

80658623232000 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 80658623232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183569148322560).

80658623232000 is an abundant number, since it is smaller than the sum of its proper divisors (286479673413120).

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

80658623232000 is a wasteful number, since it uses less digits than its factorization.

80658623232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 80658623232000 in words is "eighty trillion, six hundred fifty-eight billion, six hundred twenty-three million, two hundred thirty-two thousand".