88284210560 has 512 divisors, whose sum is σ = 271236833280. Its totient is φ = 26727874560.

The previous prime is 88284210559. The next prime is 88284210593. The reversal of 88284210560 is 6501248288.

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 63 ways as a sum of consecutive naturals, for example, 193181852 + ... + 193182308.

It is an arithmetic number, because the mean of its divisors is an integer number (529759440).

Almost surely, 2^88284210560 is an apocalyptic number.

88284210560 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 88284210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135618416640).

88284210560 is an abundant number, since it is smaller than the sum of its proper divisors (182952622720).

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

88284210560 is a wasteful number, since it uses less digits than its factorization.

88284210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 88284210560 in words is "eighty-eight billion, two hundred eighty-four million, two hundred ten thousand, five hundred sixty".