87089489280 has 512 divisors, whose sum is σ = 319732300800. Its totient is φ = 22668097536.

The previous prime is 87089489269. The next prime is 87089489293. The reversal of 87089489280 is 8298498078.

It is a happy number.

87089489280 is a `hidden beast` number, since 8 + 70 + 8 + 9 + 489 + 2 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 60185517 + ... + 60186963.

It is an arithmetic number, because the mean of its divisors is an integer number (624477150).

Almost surely, 2^87089489280 is an apocalyptic number.

87089489280 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 87089489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159866150400).

87089489280 is an abundant number, since it is smaller than the sum of its proper divisors (232642811520).

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

87089489280 is an equidigital number, since it uses as much as digits as its factorization.

87089489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 87089489280 in words is "eighty-seven billion, eighty-nine million, four hundred eighty-nine thousand, two hundred eighty".