87313819320 has 512 divisors, whose sum is σ = 365541120000. Its totient is φ = 18421240320.

The previous prime is 87313819283. The next prime is 87313819331. The reversal of 87313819320 is 2391831378.

It is a happy number.

87313819320 is a `hidden beast` number, since 8 + 7 + 313 + 8 + 1 + 9 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4806655 + ... + 4824785.

It is an arithmetic number, because the mean of its divisors is an integer number (713947500).

Almost surely, 2^87313819320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87313819320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182770560000).

87313819320 is an abundant number, since it is smaller than the sum of its proper divisors (278227300680).

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

87313819320 is a wasteful number, since it uses less digits than its factorization.

87313819320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18185 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 87313819320 in words is "eighty-seven billion, three hundred thirteen million, eight hundred nineteen thousand, three hundred twenty".