87609600000 has 1080 divisors, whose sum is σ = 354178835010. Its totient is φ = 21565440000.

The previous prime is 87609599983. The next prime is 87609600053. The reversal of 87609600000 is 690678.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 72201839616 + 15407760384 = 268704^2 + 124128^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6739199994 + ... + 6739200006.

Almost surely, 2^87609600000 is an apocalyptic number.

87609600000 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 87609600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177089417505).

87609600000 is an abundant number, since it is smaller than the sum of its proper divisors (266569235010).

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

87609600000 is an frugal number, since it uses more digits than its factorization.

87609600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 87609600000 in words is "eighty-seven billion, six hundred nine million, six hundred thousand".