80216422591200 has 1728 divisors, whose sum is σ = 333855447883776. Its totient is φ = 16605388800000.

The previous prime is 80216422591121. The next prime is 80216422591229. The reversal of 80216422591200 is 219522461208.

It is a super-3 number, since 3×80216422591200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11217507625 + ... + 11217514775.

It is an arithmetic number, because the mean of its divisors is an integer number (193203384192).

Almost surely, 2^{80216422591200} is an apocalyptic number.

80216422591200 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 80216422591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166927723941888).

80216422591200 is an abundant number, since it is smaller than the sum of its proper divisors (253639025292576).

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

80216422591200 is a wasteful number, since it uses less digits than its factorization.

80216422591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 80216422591200 in words is "eighty trillion, two hundred sixteen billion, four hundred twenty-two million, five hundred ninety-one thousand, two hundred".