80872719648 has 384 divisors, whose sum is σ = 256045547520. Its totient is φ = 21867356160.

The previous prime is 80872719593. The next prime is 80872719667. The reversal of 80872719648 is 84691727808.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80872719591 and 80872719600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258379140 + ... + 258379452.

It is an arithmetic number, because the mean of its divisors is an integer number (666785280).

Almost surely, 2^80872719648 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 80872719648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128022773760).

80872719648 is an abundant number, since it is smaller than the sum of its proper divisors (175172827872).

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

80872719648 is a wasteful number, since it uses less digits than its factorization.

80872719648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 80872719648 in words is "eighty billion, eight hundred seventy-two million, seven hundred nineteen thousand, six hundred forty-eight".