87556210560 has 960 divisors, whose sum is σ = 380623632480. Its totient is φ = 18435465216.

The previous prime is 87556210519. The next prime is 87556210579. The reversal of 87556210560 is 6501265578.

87556210560 is a `hidden beast` number, since 8 + 75 + 5 + 6 + 2 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179786637 + ... + 179787123.

Almost surely, 2^87556210560 is an apocalyptic number.

87556210560 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 87556210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190311816240).

87556210560 is an abundant number, since it is smaller than the sum of its proper divisors (293067421920).

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

87556210560 is a wasteful number, since it uses less digits than its factorization.

87556210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

It can be divided in two parts, 87556 and 210560, that added together give a square (298116 = 546²).

The spelling of 87556210560 in words is "eighty-seven billion, five hundred fifty-six million, two hundred ten thousand, five hundred sixty".