87808042048320 has 1008 divisors, whose sum is σ = 349977849923520. Its totient is φ = 20135876935680.

The previous prime is 87808042048277. The next prime is 87808042048327. The reversal of 87808042048320 is 2384024080878.

87808042048320 is a `hidden beast` number, since 8 + 7 + 80 + 80 + 4 + 2 + 0 + 483 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87808042048327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4522215252 + ... + 4522234668.

It is an arithmetic number, because the mean of its divisors is an integer number (347200247940).

Almost surely, 2^{87808042048320} is an apocalyptic number.

87808042048320 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 87808042048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988924961760).

87808042048320 is an abundant number, since it is smaller than the sum of its proper divisors (262169807875200).

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

87808042048320 is a wasteful number, since it uses less digits than its factorization.

87808042048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20164 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 87808042048320 in words is "eighty-seven trillion, eight hundred eight billion, forty-two million, forty-eight thousand, three hundred twenty".