84599966880 has 1080 divisors, whose sum is σ = 363993513156. Its totient is φ = 17817845760.

The previous prime is 84599966861. The next prime is 84599966963. The reversal of 84599966880 is 8866999548.

84599966880 is a `hidden beast` number, since 8 + 459 + 9 + 96 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 35480996496 + 49118970384 = 188364^2 + 221628^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84599966799 and 84599966808.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4976468632 + ... + 4976468648.

Almost surely, 2^84599966880 is an apocalyptic number.

84599966880 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 84599966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181996756578).

84599966880 is an abundant number, since it is smaller than the sum of its proper divisors (279393546276).

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

84599966880 is a wasteful number, since it uses less digits than its factorization.

84599966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 84599966880 in words is "eighty-four billion, five hundred ninety-nine million, nine hundred sixty-six thousand, eight hundred eighty".