84390226200 has 1152 divisors, whose sum is σ = 353902348800. Its totient is φ = 17611776000.

The previous prime is 84390226181. The next prime is 84390226237. The reversal of 84390226200 is 262209348.

84390226200 is a `hidden beast` number, since 8 + 4 + 3 + 9 + 0 + 22 + 620 + 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 644200135 + ... + 644200265.

It is an arithmetic number, because the mean of its divisors is an integer number (307206900).

Almost surely, 2^84390226200 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 84390226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176951174400).

84390226200 is an abundant number, since it is smaller than the sum of its proper divisors (269512122600).

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

84390226200 is a wasteful number, since it uses less digits than its factorization.

84390226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 84390226200 in words is "eighty-four billion, three hundred ninety million, two hundred twenty-six thousand, two hundred".