84890419200 has 816 divisors, whose sum is σ = 331557201600. Its totient is φ = 21233664000.

The previous prime is 84890419153. The next prime is 84890419223. The reversal of 84890419200 is 291409848.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840499150 + ... + 840499250.

It is an arithmetic number, because the mean of its divisors is an integer number (406320100).

Almost surely, 2^84890419200 is an apocalyptic number.

84890419200 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 84890419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165778600800).

84890419200 is an abundant number, since it is smaller than the sum of its proper divisors (246666782400).

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

84890419200 is a wasteful number, since it uses less digits than its factorization.

84890419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 84890419200 in words is "eighty-four billion, eight hundred ninety million, four hundred nineteen thousand, two hundred".