80855770881600 has 6720 divisors, whose sum is σ = 390911460065280. Its totient is φ = 16094453760000.

The previous prime is 80855770881551. The next prime is 80855770881719. The reversal of 80855770881600 is 618807755808.

80855770881600 is a `hidden beast` number, since 8 + 0 + 8 + 557 + 70 + 8 + 8 + 1 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 383202705495 + ... + 383202705705.

It is an arithmetic number, because the mean of its divisors is an integer number (58171348224).

Almost surely, 2^{80855770881600} is an apocalyptic number.

80855770881600 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 80855770881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195455730032640).

80855770881600 is an abundant number, since it is smaller than the sum of its proper divisors (310055689183680).

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

80855770881600 is a wasteful number, since it uses less digits than its factorization.

80855770881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 63.

The spelling of 80855770881600 in words is "eighty trillion, eight hundred fifty-five billion, seven hundred seventy million, eight hundred eighty-one thousand, six hundred".