87556810000 has 225 divisors, whose sum is σ = 233876395753. Its totient is φ = 31720480000.

The previous prime is 87556809973. The next prime is 87556810007. The reversal of 87556810000 is 1865578.

The square root of 87556810000 is 295900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 87504739344 + 52070656 = 295812^2 + 7216^2 .

It is a super-2 number, since 2×87556810000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87556810007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 325489866 + ... + 325490134.

Almost surely, 2^87556810000 is an apocalyptic number.

87556810000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87556810000 is the 295900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87556810000

87556810000 is an abundant number, since it is smaller than the sum of its proper divisors (146319585753).

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

87556810000 is an equidigital number, since it uses as much as digits as its factorization.

87556810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 87556810000 in words is "eighty-seven billion, five hundred fifty-six million, eight hundred ten thousand".