87583610000 has 50 divisors (see below), whose sum is σ = 212048702382. Its totient is φ = 35033440000.

The previous prime is 87583609963. The next prime is 87583610027. The reversal of 87583610000 is 1638578.

It can be written as a sum of positive squares in 5 ways, for example, as 60482548624 + 27101061376 = 245932^2 + 164624^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4369181 + ... + 4389180.

Almost surely, 2^87583610000 is an apocalyptic number.

87583610000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87583610000 is an abundant number, since it is smaller than the sum of its proper divisors (124465092382).

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

87583610000 is an equidigital number, since it uses as much as digits as its factorization.

87583610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758389 (or 8758368 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 87583610000 in words is "eighty-seven billion, five hundred eighty-three million, six hundred ten thousand".