80415998208 has 288 divisors, whose sum is σ = 292684448000. Its totient is φ = 21208449024.

The previous prime is 80415998197. The next prime is 80415998219. The reversal of 80415998208 is 80289951408.

80415998208 is a `hidden beast` number, since 8 + 0 + 41 + 599 + 8 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (80415998197) and next prime (80415998219).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×80415998208² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565068 + ... + 692916.

Almost surely, 2^80415998208 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 80415998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146342224000).

80415998208 is an abundant number, since it is smaller than the sum of its proper divisors (212268449792).

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

80415998208 is a wasteful number, since it uses less digits than its factorization.

80415998208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127894 (or 127874 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 80415998208 in words is "eighty billion, four hundred fifteen million, nine hundred ninety-eight thousand, two hundred eight".