80076814235136 has 480 divisors, whose sum is σ = 243326823854400. Its totient is φ = 25316304814080.

The previous prime is 80076814235081. The next prime is 80076814235347. The reversal of 80076814235136 is 63153241867008.

80076814235136 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 6 + 81 + 42 + 3 + 513 + 6 = 666.

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, 2628125310 + ... + 2628155778.

It is an arithmetic number, because the mean of its divisors is an integer number (506930883030).

Almost surely, 2^{80076814235136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80076814235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663411927200).

80076814235136 is an abundant number, since it is smaller than the sum of its proper divisors (163250009619264).

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

80076814235136 is a wasteful number, since it uses less digits than its factorization.

80076814235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 30851 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 80076814235136 in words is "eighty trillion, seventy-six billion, eight hundred fourteen million, two hundred thirty-five thousand, one hundred thirty-six".