80205000048 has 240 divisors, whose sum is σ = 246102105600. Its totient is φ = 24294090240.

The previous prime is 80205000047. The next prime is 80205000049. The reversal of 80205000048 is 84000050208.

It is an interprime number because it is at equal distance from previous prime (80205000047) and next prime (80205000049).

It is a junction number, because it is equal to n+sod(n) for n = 80204999985 and 80205000030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80205000047) 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, 7181893 + ... + 7193051.

It is an arithmetic number, because the mean of its divisors is an integer number (1025425440).

Almost surely, 2^80205000048 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 80205000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123051052800).

80205000048 is an abundant number, since it is smaller than the sum of its proper divisors (165897105552).

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

80205000048 is a wasteful number, since it uses less digits than its factorization.

80205000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 80205000048 in words is "eighty billion, two hundred five million, forty-eight", and thus it is an aban number.