87218208000 has 2880 divisors, whose sum is σ = 444470906880. Its totient is φ = 16422912000.

The previous prime is 87218207941. The next prime is 87218208169. The reversal of 87218208000 is 80281278.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3792095989 + ... + 3792096011.

It is an arithmetic number, because the mean of its divisors is an integer number (154330176).

Almost surely, 2^87218208000 is an apocalyptic number.

87218208000 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 87218208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235453440).

87218208000 is an abundant number, since it is smaller than the sum of its proper divisors (357252698880).

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

87218208000 is a wasteful number, since it uses less digits than its factorization.

87218208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 87218208000 its reverse (80281278), we get a palindrome (87298489278).

The spelling of 87218208000 in words is "eighty-seven billion, two hundred eighteen million, two hundred eight thousand".