87235666056000 has 1344 divisors, whose sum is σ = 411943654347264. Its totient is φ = 17060585472000.

The previous prime is 87235666055987. The next prime is 87235666056023. The reversal of 87235666056000 is 65066653278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×87235666056000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93785202 + ... + 94710798.

Almost surely, 2^{87235666056000} is an apocalyptic number.

87235666056000 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 87235666056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205971827173632).

87235666056000 is an abundant number, since it is smaller than the sum of its proper divisors (324707988291264).

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

87235666056000 is a wasteful number, since it uses less digits than its factorization.

87235666056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925665 (or 925642 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 87235666056000 in words is "eighty-seven trillion, two hundred thirty-five billion, six hundred sixty-six million, fifty-six thousand".