87559575936 has 128 divisors (see below), whose sum is σ = 266478639360. Its totient is φ = 24953702400.

The previous prime is 87559575911. The next prime is 87559575937. The reversal of 87559575936 is 63957595578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87559575937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026111 + ... + 1108161.

It is an arithmetic number, because the mean of its divisors is an integer number (2081864370).

Almost surely, 2^87559575936 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 87559575936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133239319680).

87559575936 is an abundant number, since it is smaller than the sum of its proper divisors (178919063424).

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

87559575936 is a wasteful number, since it uses less digits than its factorization.

87559575936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82472 (or 82460 counting only the distinct ones).

The product of its digits is 357210000, while the sum is 69.

The spelling of 87559575936 in words is "eighty-seven billion, five hundred fifty-nine million, five hundred seventy-five thousand, nine hundred thirty-six".