87285669482880 has 768 divisors, whose sum is σ = 342389864678400. Its totient is φ = 20998568448000.

The previous prime is 87285669482863. The next prime is 87285669482881. The reversal of 87285669482880 is 8828496658278.

87285669482880 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 56 + 6 + 9 + 482 + 8 + 80 = 666.

It is a super-2 number, since 2×87285669482880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87285669482880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87285669482881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273745945 + ... + 274064615.

It is an arithmetic number, because the mean of its divisors is an integer number (445820136300).

Almost surely, 2^{87285669482880} is an apocalyptic number.

87285669482880 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 87285669482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171194932339200).

87285669482880 is an abundant number, since it is smaller than the sum of its proper divisors (255104195195520).

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

87285669482880 is a wasteful number, since it uses less digits than its factorization.

87285669482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318852 (or 318823 counting only the distinct ones).

The product of its (nonzero) digits is 5945425920, while the sum is 81.

The spelling of 87285669482880 in words is "eighty-seven trillion, two hundred eighty-five billion, six hundred sixty-nine million, four hundred eighty-two thousand, eight hundred eighty".