80061237549216 has 288 divisors, whose sum is σ = 283865205431808. Its totient is φ = 20794267537920.

The previous prime is 80061237549211. The next prime is 80061237549229. The reversal of 80061237549216 is 61294573216008.

It is a happy number.

80061237549216 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 12 + 375 + 49 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (80061237549211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674157555 + ... + 674276301.

It is an arithmetic number, because the mean of its divisors is an integer number (985643074416).

It is a 2-persistent number, because it is pandigital, and so is 2⋅80061237549216 = 160122475098432, but 3⋅80061237549216 = 240183712647648 is not.

Almost surely, 2^{80061237549216} 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 80061237549216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141932602715904).

80061237549216 is an abundant number, since it is smaller than the sum of its proper divisors (203803967882592).

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

80061237549216 is a wasteful number, since it uses less digits than its factorization.

80061237549216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149184 (or 149173 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 80061237549216 in words is "eighty trillion, sixty-one billion, two hundred thirty-seven million, five hundred forty-nine thousand, two hundred sixteen".