87008170788000 has 1344 divisors, whose sum is σ = 399612861123840. Its totient is φ = 18079573248000.

The previous prime is 87008170787959. The next prime is 87008170788023. The reversal of 87008170788000 is 88707180078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 224338246 + ... + 224725754.

It is an arithmetic number, because the mean of its divisors is an integer number (297330997860).

Almost surely, 2^{87008170788000} is an apocalyptic number.

87008170788000 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 87008170788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199806430561920).

87008170788000 is an abundant number, since it is smaller than the sum of its proper divisors (312604690335840).

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

87008170788000 is a wasteful number, since it uses less digits than its factorization.

87008170788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387570 (or 387537 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The spelling of 87008170788000 in words is "eighty-seven trillion, eight billion, one hundred seventy million, seven hundred eighty-eight thousand".