87521566176 has 192 divisors, whose sum is σ = 281609395200. Its totient is φ = 26223436800.

The previous prime is 87521566169. The next prime is 87521566219. The reversal of 87521566176 is 67166512578.

It is a happy number.

87521566176 is a `hidden beast` number, since 8 + 7 + 5 + 2 + 1 + 566 + 1 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794121 + ... + 897591.

It is an arithmetic number, because the mean of its divisors is an integer number (1466715600).

Almost surely, 2^87521566176 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 87521566176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140804697600).

87521566176 is an abundant number, since it is smaller than the sum of its proper divisors (194087829024).

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

87521566176 is a wasteful number, since it uses less digits than its factorization.

87521566176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103590 (or 103576 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 87521566176 in words is "eighty-seven billion, five hundred twenty-one million, five hundred sixty-six thousand, one hundred seventy-six".