80312618188800 has 2736 divisors, whose sum is σ = 323726502677760. Its totient is φ = 19691250647040.

The previous prime is 80312618188697. The next prime is 80312618188823. The reversal of 80312618188800 is 888181621308.

80312618188800 is a `hidden beast` number, since 8 + 0 + 3 + 1 + 2 + 618 + 18 + 8 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1708779110377 + ... + 1708779110423.

It is an arithmetic number, because the mean of its divisors is an integer number (118321090160).

Almost surely, 2^{80312618188800} is an apocalyptic number.

80312618188800 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 80312618188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161863251338880).

80312618188800 is an abundant number, since it is smaller than the sum of its proper divisors (243413884488960).

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

80312618188800 is an frugal number, since it uses more digits than its factorization.

80312618188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 80312618188800 in words is "eighty trillion, three hundred twelve billion, six hundred eighteen million, one hundred eighty-eight thousand, eight hundred".