80217192000 has 672 divisors, whose sum is σ = 304057458432. Its totient is φ = 18585600000.

The previous prime is 80217191983. The next prime is 80217192007. The reversal of 80217192000 is 29171208.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (80217192007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66791400 + ... + 66792600.

It is an arithmetic number, because the mean of its divisors is an integer number (452466456).

Almost surely, 2^80217192000 is an apocalyptic number.

80217192000 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 80217192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152028729216).

80217192000 is an abundant number, since it is smaller than the sum of its proper divisors (223840266432).

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

80217192000 is a wasteful number, since it uses less digits than its factorization.

80217192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 80217192000 in words is "eighty billion, two hundred seventeen million, one hundred ninety-two thousand".