87458568960 has 576 divisors, whose sum is σ = 333047070720. Its totient is φ = 19139051520.

The previous prime is 87458568943. The next prime is 87458569007. The reversal of 87458568960 is 6986585478.

It is a junction number, because it is equal to n+sod(n) for n = 87458568891 and 87458568900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85827331 + ... + 85828349.

It is an arithmetic number, because the mean of its divisors is an integer number (578206720).

Almost surely, 2^87458568960 is an apocalyptic number.

87458568960 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 87458568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166523535360).

87458568960 is an abundant number, since it is smaller than the sum of its proper divisors (245588501760).

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

87458568960 is a wasteful number, since it uses less digits than its factorization.

87458568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 87458568960 in words is "eighty-seven billion, four hundred fifty-eight million, five hundred sixty-eight thousand, nine hundred sixty".