84288066240 has 224 divisors, whose sum is σ = 306653184000. Its totient is φ = 19214954496.

The previous prime is 84288066229. The next prime is 84288066257. The reversal of 84288066240 is 4266088248.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×84288066240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84288066240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2557386 + ... + 2590134.

Almost surely, 2^84288066240 is an apocalyptic number.

84288066240 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 84288066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153326592000).

84288066240 is an abundant number, since it is smaller than the sum of its proper divisors (222365117760).

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

84288066240 is a wasteful number, since it uses less digits than its factorization.

84288066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33159 (or 33149 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 84288066240 in words is "eighty-four billion, two hundred eighty-eight million, sixty-six thousand, two hundred forty".