82987027200 has 1944 divisors, whose sum is σ = 393897236880. Its totient is φ = 17244057600.

The previous prime is 82987027171. The next prime is 82987027217. The reversal of 82987027200 is 272078928.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 7544275195 + ... + 7544275205.

Almost surely, 2^82987027200 is an apocalyptic number.

82987027200 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 82987027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196948618440).

82987027200 is an abundant number, since it is smaller than the sum of its proper divisors (310910209680).

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

82987027200 is an equidigital number, since it uses as much as digits as its factorization.

82987027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 82987027200 in words is "eighty-two billion, nine hundred eighty-seven million, twenty-seven thousand, two hundred".