86951027200 has 60 divisors (see below), whose sum is σ = 215427994650. Its totient is φ = 34780405760.

The previous prime is 86951027123. The next prime is 86951027203. The reversal of 86951027200 is 272015968.

It can be written as a sum of positive squares in 3 ways, for example, as 34667460864 + 52283566336 = 186192^2 + 228656^2 .

It is a super-3 number, since 3×86951027200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (86951027203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3383725 + ... + 3409324.

Almost surely, 2^86951027200 is an apocalyptic number.

86951027200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86951027200 is an abundant number, since it is smaller than the sum of its proper divisors (128476967450).

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

86951027200 is an equidigital number, since it uses as much as digits as its factorization.

86951027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793077 (or 6793056 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 86951027200 in words is "eighty-six billion, nine hundred fifty-one million, twenty-seven thousand, two hundred".