84628508164200 has 1152 divisors, whose sum is σ = 382957926624000. Its totient is φ = 16174577664000.

The previous prime is 84628508164199. The next prime is 84628508164271. The reversal of 84628508164200 is 246180582648.

84628508164200 is a `hidden beast` number, since 8 + 4 + 62 + 85 + 0 + 81 + 6 + 420 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 506222226 + ... + 506389374.

It is an arithmetic number, because the mean of its divisors is an integer number (332428755750).

Almost surely, 2^{84628508164200} 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 84628508164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191478963312000).

84628508164200 is an abundant number, since it is smaller than the sum of its proper divisors (298329418459800).

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

84628508164200 is a wasteful number, since it uses less digits than its factorization.

84628508164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167483 (or 167471 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 84628508164200 in words is "eighty-four trillion, six hundred twenty-eight billion, five hundred eight million, one hundred sixty-four thousand, two hundred".