84534509088 has 384 divisors, whose sum is σ = 269518233600. Its totient is φ = 25706419200.

The previous prime is 84534509069. The next prime is 84534509093. The reversal of 84534509088 is 88090543548.

84534509088 is a `hidden beast` number, since 8 + 4 + 53 + 4 + 509 + 0 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33398383 + ... + 33400913.

It is an arithmetic number, because the mean of its divisors is an integer number (701870400).

Almost surely, 2^84534509088 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 84534509088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134759116800).

84534509088 is an abundant number, since it is smaller than the sum of its proper divisors (184983724512).

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

84534509088 is a wasteful number, since it uses less digits than its factorization.

84534509088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 84534509088 in words is "eighty-four billion, five hundred thirty-four million, five hundred nine thousand, eighty-eight".