80944368728100 has 144 divisors (see below), whose sum is σ = 240539072222400. Its totient is φ = 21000880350720.

The previous prime is 80944368728053. The next prime is 80944368728129. The reversal of 80944368728100 is 182786344908.

It is a happy number.

It is a super-2 number, since 2×80944368728100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 281119006 + ... + 281406794.

Almost surely, 2^{80944368728100} 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 80944368728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120269536111200).

80944368728100 is an abundant number, since it is smaller than the sum of its proper divisors (159594703494300).

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

80944368728100 is a wasteful number, since it uses less digits than its factorization.

80944368728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313182 (or 313175 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 80944368728100 in words is "eighty trillion, nine hundred forty-four billion, three hundred sixty-eight million, seven hundred twenty-eight thousand, one hundred".