80355918240 has 576 divisors, whose sum is σ = 321809483520. Its totient is φ = 18612633600.

The previous prime is 80355918211. The next prime is 80355918259. The reversal of 80355918240 is 4281955308.

80355918240 is a `hidden beast` number, since 8 + 0 + 35 + 591 + 8 + 24 + 0 = 666.

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

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, 16227765 + ... + 16232715.

It is an arithmetic number, because the mean of its divisors is an integer number (558697020).

Almost surely, 2^80355918240 is an apocalyptic number.

80355918240 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 80355918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160904741760).

80355918240 is an abundant number, since it is smaller than the sum of its proper divisors (241453565280).

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

80355918240 is a wasteful number, since it uses less digits than its factorization.

80355918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 80355918240 in words is "eighty billion, three hundred fifty-five million, nine hundred eighteen thousand, two hundred forty".