80553678985242 has 64 divisors (see below), whose sum is σ = 181388630016000. Its totient is φ = 26494587638064.

The previous prime is 80553678985201. The next prime is 80553678985243. The reversal of 80553678985242 is 24258987635508.

80553678985242 is a `hidden beast` number, since 8 + 0 + 5 + 5 + 3 + 6 + 7 + 8 + 98 + 524 + 2 = 666.

It is a super-2 number, since 2×80553678985242² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80553678985243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788859 + ... + 12717297.

It is an arithmetic number, because the mean of its divisors is an integer number (2834197344000).

Almost surely, 2^{80553678985242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80553678985242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90694315008000).

80553678985242 is an abundant number, since it is smaller than the sum of its proper divisors (100834951030758).

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

80553678985242 is a wasteful number, since it uses less digits than its factorization.

80553678985242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930112 (or 11930106 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 80553678985242 in words is "eighty trillion, five hundred fifty-three billion, six hundred seventy-eight million, nine hundred eighty-five thousand, two hundred forty-two".