80248724100 has 216 divisors, whose sum is σ = 254672861352. Its totient is φ = 21134131200.

The previous prime is 80248724099. The next prime is 80248724113. The reversal of 80248724100 is 142784208.

It can be written as a sum of positive squares in 12 ways, for example, as 80212435524 + 36288576 = 283218^2 + 6024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31830840 + ... + 31833360.

Almost surely, 2^80248724100 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 80248724100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127336430676).

80248724100 is an abundant number, since it is smaller than the sum of its proper divisors (174424137252).

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

80248724100 is a wasteful number, since it uses less digits than its factorization.

80248724100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 80248724100 in words is "eighty billion, two hundred forty-eight million, seven hundred twenty-four thousand, one hundred".