80024311342008 has 192 divisors, whose sum is σ = 239782680933120. Its totient is φ = 23906536012800.

The previous prime is 80024311341973. The next prime is 80024311342039.

It is a happy number.

80024311342008 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 431 + 13 + 4 + 200 + 8 = 666.

80024311342008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941674816 + ... + 941759792.

It is an arithmetic number, because the mean of its divisors is an integer number (1248868129860).

Almost surely, 2^{80024311342008} is an apocalyptic number.

80024311342008 is a gapful number since it is divisible by the number (88) 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 80024311342008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119891340466560).

80024311342008 is an abundant number, since it is smaller than the sum of its proper divisors (159758369591112).

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

80024311342008 is a wasteful number, since it uses less digits than its factorization.

80024311342008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101818 (or 101811 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 8002431 and 1342008, that added together give a palindrome (9344439).

The spelling of 80024311342008 in words is "eighty trillion, twenty-four billion, three hundred eleven million, three hundred forty-two thousand, eight".