87585442560 has 2016 divisors, whose sum is σ = 416935185408. Its totient is φ = 17079828480.

The previous prime is 87585442541. The next prime is 87585442589. The reversal of 87585442560 is 6524458578.

87585442560 is a `hidden beast` number, since 8 + 7 + 585 + 4 + 4 + 2 + 56 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 87585442497 and 87585442506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1652555494 + ... + 1652555546.

It is an arithmetic number, because the mean of its divisors is an integer number (206813088).

Almost surely, 2^87585442560 is an apocalyptic number.

87585442560 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 87585442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208467592704).

87585442560 is an abundant number, since it is smaller than the sum of its proper divisors (329349742848).

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

87585442560 is a wasteful number, since it uses less digits than its factorization.

87585442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 87585442560 in words is "eighty-seven billion, five hundred eighty-five million, four hundred forty-two thousand, five hundred sixty".