80584034181120 has 1792 divisors, whose sum is σ = 305659471138560. Its totient is φ = 20363933122560.

The previous prime is 80584034181103. The next prime is 80584034181137. The reversal of 80584034181120 is 2118143048508.

80584034181120 is a `hidden beast` number, since 8 + 0 + 5 + 8 + 403 + 41 + 81 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (80584034181103) and next prime (80584034181137).

It is a super-3 number, since 3×80584034181120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 135892131544 + ... + 135892132136.

It is an arithmetic number, because the mean of its divisors is an integer number (170568901305).

Almost surely, 2^{80584034181120} is an apocalyptic number.

80584034181120 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 80584034181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152829735569280).

80584034181120 is an abundant number, since it is smaller than the sum of its proper divisors (225075436957440).

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

80584034181120 is an frugal number, since it uses more digits than its factorization.

80584034181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 80584034181120 in words is "eighty trillion, five hundred eighty-four billion, thirty-four million, one hundred eighty-one thousand, one hundred twenty".