87085689600 has 432 divisors, whose sum is σ = 353731304192. Its totient is φ = 18373754880.

The previous prime is 87085689599. The next prime is 87085689601. The reversal of 87085689600 is 698658078.

It is an interprime number because it is at equal distance from previous prime (87085689599) and next prime (87085689601).

It is not an unprimeable number, because it can be changed into a prime (87085689601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722279 + ... + 1772121.

Almost surely, 2^87085689600 is an apocalyptic number.

87085689600 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 87085689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176865652096).

87085689600 is an abundant number, since it is smaller than the sum of its proper divisors (266645614592).

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

87085689600 is a wasteful number, since it uses less digits than its factorization.

87085689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49892 (or 49873 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 87085689600 in words is "eighty-seven billion, eighty-five million, six hundred eighty-nine thousand, six hundred".