87836908320000 has 2160 divisors, whose sum is σ = 384606231609600. Its totient is φ = 18814500864000.

The previous prime is 87836908319987. The next prime is 87836908320011. The reversal of 87836908320000 is 2380963878.

87836908320000 is a `hidden beast` number, since 8 + 78 + 369 + 0 + 8 + 3 + 200 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45067679026 + ... + 45067680974.

It is an arithmetic number, because the mean of its divisors is an integer number (178058440560).

Almost surely, 2^{87836908320000} is an apocalyptic number.

87836908320000 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 87836908320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192303115804800).

87836908320000 is an abundant number, since it is smaller than the sum of its proper divisors (296769323289600).

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

87836908320000 is a wasteful number, since it uses less digits than its factorization.

87836908320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 87836908320000 in words is "eighty-seven trillion, eight hundred thirty-six billion, nine hundred eight million, three hundred twenty thousand".