84090909530880 has 864 divisors, whose sum is σ = 333836833075200. Its totient is φ = 19144221032448.

The previous prime is 84090909530821. The next prime is 84090909530893. The reversal of 84090909530880 is 8803590909048.

84090909530880 is a `hidden beast` number, since 8 + 4 + 0 + 9 + 0 + 90 + 9 + 530 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 23909838882 + ... + 23909842398.

Almost surely, 2^{84090909530880} is an apocalyptic number.

84090909530880 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 84090909530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166918416537600).

84090909530880 is an abundant number, since it is smaller than the sum of its proper divisors (249745923544320).

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

84090909530880 is a wasteful number, since it uses less digits than its factorization.

84090909530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 84090909530880 in words is "eighty-four trillion, ninety billion, nine hundred nine million, five hundred thirty thousand, eight hundred eighty".