86271609600 has 1134 divisors, whose sum is σ = 357988667988. Its totient is φ = 20404224000.

The previous prime is 86271609569. The next prime is 86271609631. The reversal of 86271609600 is 690617268.

86271609600 is a `hidden beast` number, since 8 + 6 + 27 + 16 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (86271609569) and next prime (86271609631).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2104185580 + ... + 2104185620.

Almost surely, 2^86271609600 is an apocalyptic number.

86271609600 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 86271609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178994333994).

86271609600 is an abundant number, since it is smaller than the sum of its proper divisors (271717058388).

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

86271609600 is an equidigital number, since it uses as much as digits as its factorization.

86271609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 86271609600 in words is "eighty-six billion, two hundred seventy-one million, six hundred nine thousand, six hundred".