84521428992 has 960 divisors, whose sum is σ = 339632092800. Its totient is φ = 20225064960.

The previous prime is 84521428991. The next prime is 84521429009. The reversal of 84521428992 is 29982412548.

84521428992 is a `hidden beast` number, since 8 + 4 + 521 + 4 + 28 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84521428991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166053634 + ... + 166054142.

It is an arithmetic number, because the mean of its divisors is an integer number (353783430).

Almost surely, 2^84521428992 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 84521428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169816046400).

84521428992 is an abundant number, since it is smaller than the sum of its proper divisors (255110663808).

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

84521428992 is a wasteful number, since it uses less digits than its factorization.

84521428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 545 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 84521428992 in words is "eighty-four billion, five hundred twenty-one million, four hundred twenty-eight thousand, nine hundred ninety-two".