80753568303936 has 672 divisors, whose sum is σ = 251257392368640. Its totient is φ = 22821765120000.

The previous prime is 80753568303871. The next prime is 80753568303953. The reversal of 80753568303936 is 63930386535708.

It is a super-3 number, since 3×80753568303936³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12050969386 + ... + 12050976086.

It is an arithmetic number, because the mean of its divisors is an integer number (373894929120).

Almost surely, 2^{80753568303936} 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 80753568303936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125628696184320).

80753568303936 is an abundant number, since it is smaller than the sum of its proper divisors (170503824064704).

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

80753568303936 is a wasteful number, since it uses less digits than its factorization.

80753568303936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 66.

The spelling of 80753568303936 in words is "eighty trillion, seven hundred fifty-three billion, five hundred sixty-eight million, three hundred three thousand, nine hundred thirty-six".