80251122336 has 768 divisors, whose sum is σ = 285603397632. Its totient is φ = 19278842880.

The previous prime is 80251122257. The next prime is 80251122397. The reversal of 80251122336 is 63322115208.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 80251122297 and 80251122306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 966880951 + ... + 966881033.

It is an arithmetic number, because the mean of its divisors is an integer number (371879424).

Almost surely, 2^80251122336 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 80251122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142801698816).

80251122336 is an abundant number, since it is smaller than the sum of its proper divisors (205352275296).

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

80251122336 is a wasteful number, since it uses less digits than its factorization.

80251122336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 80251122336 in words is "eighty billion, two hundred fifty-one million, one hundred twenty-two thousand, three hundred thirty-six".