8206180249680 has 500 divisors, whose sum is σ = 33249577635252. Its totient is φ = 1875694786560.

The previous prime is 8206180249679. The next prime is 8206180249739. The reversal of 8206180249680 is 869420816028.

It can be written as a sum of positive squares in 2 ways, for example, as 1878621114384 + 6327559135296 = 1370628^2 + 2515464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 15294760 + ... + 15822200.

Almost surely, 2^{8206180249680} is an apocalyptic number.

8206180249680 is a gapful number since it is divisible by the number (80) 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 8206180249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624788817626).

8206180249680 is an abundant number, since it is smaller than the sum of its proper divisors (25043397385572).

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

8206180249680 is an equidigital number, since it uses as much as digits as its factorization.

8206180249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527494 (or 527458 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 8206180249680 in words is "eight trillion, two hundred six billion, one hundred eighty million, two hundred forty-nine thousand, six hundred eighty".