84289016521920 has 448 divisors, whose sum is σ = 306825003417600. Its totient is φ = 19204619857920.

The previous prime is 84289016521861. The next prime is 84289016521921. The reversal of 84289016521920 is 2912561098248.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (84289016521921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5193080205 + ... + 5193096435.

Almost surely, 2^{84289016521920} is an apocalyptic number.

84289016521920 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 84289016521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153412501708800).

84289016521920 is an abundant number, since it is smaller than the sum of its proper divisors (222535986895680).

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

84289016521920 is a wasteful number, since it uses less digits than its factorization.

84289016521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18676 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 84289016521920 in words is "eighty-four trillion, two hundred eighty-nine billion, sixteen million, five hundred twenty-one thousand, nine hundred twenty".