86753811600 has 135 divisors (see below), whose sum is σ = 301121165163. Its totient is φ = 23129637120.

The previous prime is 86753811563. The next prime is 86753811659. The reversal of 86753811600 is 611835768.

The square root of 86753811600 is 294540.

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

86753811600 is a `hidden beast` number, since 8 + 6 + 7 + 5 + 38 + 1 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24309799056 + 62444012544 = 155916^2 + 249888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17669946 + ... + 17674854.

Almost surely, 2^86753811600 is an apocalyptic number.

86753811600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86753811600 is the 294540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86753811600

86753811600 is an abundant number, since it is smaller than the sum of its proper divisors (214367353563).

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

86753811600 is an equidigital number, since it uses as much as digits as its factorization.

86753811600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 86753811600 in words is "eighty-six billion, seven hundred fifty-three million, eight hundred eleven thousand, six hundred".