80206120713600 has 1728 divisors, whose sum is σ = 371057720763600. Its totient is φ = 16346205388800.

The previous prime is 80206120713599. The next prime is 80206120713623. The reversal of 80206120713600 is 631702160208.

80206120713600 is a `hidden beast` number, since 8 + 0 + 2 + 0 + 612 + 0 + 7 + 1 + 36 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 455729620 + ... + 455905580.

Almost surely, 2^{80206120713600} is an apocalyptic number.

80206120713600 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 80206120713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185528860381800).

80206120713600 is an abundant number, since it is smaller than the sum of its proper divisors (290851600050000).

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

80206120713600 is a wasteful number, since it uses less digits than its factorization.

80206120713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176041 (or 176014 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 80206120713600 its reverse (631702160208), we get a palindrome (80837822873808).

The spelling of 80206120713600 in words is "eighty trillion, two hundred six billion, one hundred twenty million, seven hundred thirteen thousand, six hundred".