87742646986176 has 2016 divisors, whose sum is σ = 343732177152000. Its totient is φ = 21204442828800.

The previous prime is 87742646986097. The next prime is 87742646986229. The reversal of 87742646986176 is 67168964624778.

87742646986176 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 2 + 6 + 469 + 86 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 87742646986095 and 87742646986104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46896122521 + ... + 46896124391.

It is an arithmetic number, because the mean of its divisors is an integer number (170502072000).

Almost surely, 2^{87742646986176} 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 87742646986176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171866088576000).

87742646986176 is an abundant number, since it is smaller than the sum of its proper divisors (255989530165824).

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

87742646986176 is a wasteful number, since it uses less digits than its factorization.

87742646986176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1946 counting only the distinct ones).

The product of its digits is 8193540096, while the sum is 81.

The spelling of 87742646986176 in words is "eighty-seven trillion, seven hundred forty-two billion, six hundred forty-six million, nine hundred eighty-six thousand, one hundred seventy-six".