87115998733344 has 288 divisors, whose sum is σ = 287068033324800. Its totient is φ = 24546034630656.

The previous prime is 87115998733339. The next prime is 87115998733349. The reversal of 87115998733344 is 44333789951178.

87115998733344 is a `hidden beast` number, since 8 + 7 + 115 + 99 + 87 + 3 + 3 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (87115998733339) and next prime (87115998733349).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87115998733349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44372964 + ... + 46294620.

It is an arithmetic number, because the mean of its divisors is an integer number (996764004600).

Almost surely, 2^{87115998733344} is an apocalyptic number.

87115998733344 is a gapful number since it is divisible by the number (84) 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 87115998733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143534016662400).

87115998733344 is an abundant number, since it is smaller than the sum of its proper divisors (199952034591456).

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

87115998733344 is a wasteful number, since it uses less digits than its factorization.

87115998733344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921992 (or 1921981 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 87115998733344 in words is "eighty-seven trillion, one hundred fifteen billion, nine hundred ninety-eight million, seven hundred thirty-three thousand, three hundred forty-four".