84084028600 has 192 divisors, whose sum is σ = 230016840480. Its totient is φ = 28181760000.

The previous prime is 84084028583. The next prime is 84084028619. The reversal of 84084028600 is 682048048.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23478810 + ... + 23482390.

Almost surely, 2^84084028600 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 84084028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115008420240).

84084028600 is an abundant number, since it is smaller than the sum of its proper divisors (145932811880).

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

84084028600 is a wasteful number, since it uses less digits than its factorization.

84084028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 84084028600 in words is "eighty-four billion, eighty-four million, twenty-eight thousand, six hundred".