80194188672 has 640 divisors, whose sum is σ = 281160633600. Its totient is φ = 22454599680.

The previous prime is 80194188623. The next prime is 80194188673. The reversal of 80194188672 is 27688149108.

80194188672 is a `hidden beast` number, since 80 + 1 + 9 + 418 + 86 + 72 = 666.

It is a super-2 number, since 2×80194188672² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (80194188673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71030604 + ... + 71031732.

It is an arithmetic number, because the mean of its divisors is an integer number (439313490).

Almost surely, 2^80194188672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80194188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140580316800).

80194188672 is an abundant number, since it is smaller than the sum of its proper divisors (200966444928).

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

80194188672 is a wasteful number, since it uses less digits than its factorization.

80194188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 80194188672 in words is "eighty billion, one hundred ninety-four million, one hundred eighty-eight thousand, six hundred seventy-two".