80507861274240 has 768 divisors, whose sum is σ = 288274908579840. Its totient is φ = 20682119577600.

The previous prime is 80507861274233. The next prime is 80507861274293. The reversal of 80507861274240 is 4247216870508.

80507861274240 is a `hidden beast` number, since 8 + 0 + 5 + 0 + 78 + 61 + 274 + 240 = 666.

It is a super-5 number, since 5×80507861274240⁵ (a number of 71 digits) contains 55555 as substring.

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 95 ways as a sum of consecutive naturals, for example, 45305492232 + ... + 45305494008.

It is an arithmetic number, because the mean of its divisors is an integer number (375357953880).

Almost surely, 2^{80507861274240} is an apocalyptic number.

80507861274240 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 80507861274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144137454289920).

80507861274240 is an abundant number, since it is smaller than the sum of its proper divisors (207767047305600).

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

80507861274240 is a wasteful number, since it uses less digits than its factorization.

80507861274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 80507861274240 in words is "eighty trillion, five hundred seven billion, eight hundred sixty-one million, two hundred seventy-four thousand, two hundred forty".