84094560000 has 540 divisors, whose sum is σ = 330591020760. Its totient is φ = 20382720000.

The previous prime is 84094559993. The next prime is 84094560001. The reversal of 84094560000 is 6549048.

84094560000 is a `hidden beast` number, since 8 + 4 + 0 + 9 + 45 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84094560001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15837346 + ... + 15842654.

It is an arithmetic number, because the mean of its divisors is an integer number (612205594).

Almost surely, 2^84094560000 is an apocalyptic number.

84094560000 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 84094560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165295510380).

84094560000 is an abundant number, since it is smaller than the sum of its proper divisors (246496460760).

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

84094560000 is a wasteful number, since it uses less digits than its factorization.

84094560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 84094560000 in words is "eighty-four billion, ninety-four million, five hundred sixty thousand".