80617982404608 has 1152 divisors, whose sum is σ = 267800539668480. Its totient is φ = 23140712448000.

The previous prime is 80617982404579. The next prime is 80617982404651. The reversal of 80617982404608 is 80640428971608.

80617982404608 is a `hidden beast` number, since 8 + 0 + 6 + 17 + 9 + 8 + 2 + 4 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108503340685 + ... + 108503341427.

It is an arithmetic number, because the mean of its divisors is an integer number (232465746240).

Almost surely, 2^{80617982404608} is an apocalyptic number.

80617982404608 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 80617982404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133900269834240).

80617982404608 is an abundant number, since it is smaller than the sum of its proper divisors (187182557263872).

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

80617982404608 is a wasteful number, since it uses less digits than its factorization.

80617982404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 80617982404608 in words is "eighty trillion, six hundred seventeen billion, nine hundred eighty-two million, four hundred four thousand, six hundred eight".