80290827366624 has 1920 divisors, whose sum is σ = 295284020613120. Its totient is φ = 20897110425600.

The previous prime is 80290827366577. The next prime is 80290827366647. The reversal of 80290827366624 is 42666372809208.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 296276115609 + ... + 296276115879.

It is an arithmetic number, because the mean of its divisors is an integer number (153793760736).

Almost surely, 2^{80290827366624} is an apocalyptic number.

80290827366624 is a gapful number since it is divisible by the number (84) 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 80290827366624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147642010306560).

80290827366624 is an abundant number, since it is smaller than the sum of its proper divisors (214993193246496).

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

80290827366624 is a wasteful number, since it uses less digits than its factorization.

80290827366624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 80290827366624 in words is "eighty trillion, two hundred ninety billion, eight hundred twenty-seven million, three hundred sixty-six thousand, six hundred twenty-four".