80284942584 has 1024 divisors, whose sum is σ = 304128000000. Its totient is φ = 19416983040.

The previous prime is 80284942559. The next prime is 80284942589. The reversal of 80284942584 is 48524948208.

80284942584 is a `hidden beast` number, since 80 + 28 + 49 + 425 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80284942584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80284942589) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1016265057 + ... + 1016265135.

It is an arithmetic number, because the mean of its divisors is an integer number (297000000).

Almost surely, 2^80284942584 is an apocalyptic number.

80284942584 is a gapful number since it is divisible by the number (84) 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 80284942584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000000).

80284942584 is an abundant number, since it is smaller than the sum of its proper divisors (223843057416).

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

80284942584 is a wasteful number, since it uses less digits than its factorization.

80284942584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 80284942584 in words is "eighty billion, two hundred eighty-four million, nine hundred forty-two thousand, five hundred eighty-four".