87359844096 has 216 divisors, whose sum is σ = 289704737504. Its totient is φ = 24800256000.

The previous prime is 87359844073. The next prime is 87359844101. The reversal of 87359844096 is 69044895378.

87359844096 is a `hidden beast` number, since 87 + 359 + 84 + 40 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514846 + ... + 2549346.

Almost surely, 2^87359844096 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 87359844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144852368752).

87359844096 is an abundant number, since it is smaller than the sum of its proper divisors (202344893408).

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

87359844096 is a wasteful number, since it uses less digits than its factorization.

87359844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34687 (or 34670 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 87359844096 in words is "eighty-seven billion, three hundred fifty-nine million, eight hundred forty-four thousand, ninety-six".