86527795200 has 1344 divisors, whose sum is σ = 374444605440. Its totient is φ = 17104896000.

The previous prime is 86527795187. The next prime is 86527795217. The reversal of 86527795200 is 259772568.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×86527795200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1466572771 + ... + 1466572829.

Almost surely, 2^86527795200 is an apocalyptic number.

86527795200 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 86527795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187222302720).

86527795200 is an abundant number, since it is smaller than the sum of its proper divisors (287916810240).

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

86527795200 is a wasteful number, since it uses less digits than its factorization.

86527795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 86527795200 in words is "eighty-six billion, five hundred twenty-seven million, seven hundred ninety-five thousand, two hundred".