80688252395520 has 6048 divisors, whose sum is σ = 395252561995200. Its totient is φ = 15107327262720.

The previous prime is 80688252395449. The next prime is 80688252395521. The reversal of 80688252395520 is 2559325288608.

80688252395520 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 82 + 5 + 23 + 9 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (80688252395521) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 1204302274527 + ... + 1204302274593.

It is an arithmetic number, because the mean of its divisors is an integer number (65352606150).

Almost surely, 2^{80688252395520} is an apocalyptic number.

80688252395520 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 80688252395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197626280997600).

80688252395520 is an abundant number, since it is smaller than the sum of its proper divisors (314564309599680).

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

80688252395520 is a wasteful number, since it uses less digits than its factorization.

80688252395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 80688252395520 in words is "eighty trillion, six hundred eighty-eight billion, two hundred fifty-two million, three hundred ninety-five thousand, five hundred twenty".