84834528000 has 288 divisors, whose sum is σ = 288344888832. Its totient is φ = 22095360000.

The previous prime is 84834527993. The next prime is 84834528007. The reversal of 84834528000 is 82543848.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84834527993) and next prime (84834528007).

It is not an unprimeable number, because it can be changed into a prime (84834528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4117725 + ... + 4138275.

Almost surely, 2^84834528000 is an apocalyptic number.

84834528000 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 84834528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144172444416).

84834528000 is an abundant number, since it is smaller than the sum of its proper divisors (203510360832).

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

84834528000 is a wasteful number, since it uses less digits than its factorization.

84834528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628 (or 20604 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 84834528000 in words is "eighty-four billion, eight hundred thirty-four million, five hundred twenty-eight thousand".