81384970867200 has 2160 divisors, whose sum is σ = 398041854065856. Its totient is φ = 15610149273600.

The previous prime is 81384970867199. The next prime is 81384970867247. The reversal of 81384970867200 is 276807948318.

81384970867200 is a `hidden beast` number, since 8 + 138 + 497 + 0 + 8 + 6 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 807155989 + ... + 807256811.

Almost surely, 2^{81384970867200} is an apocalyptic number.

81384970867200 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 81384970867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199020927032928).

81384970867200 is an abundant number, since it is smaller than the sum of its proper divisors (316656883198656).

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

81384970867200 is a wasteful number, since it uses less digits than its factorization.

81384970867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100895 (or 100864 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 81384970867200 in words is "eighty-one trillion, three hundred eighty-four billion, nine hundred seventy million, eight hundred sixty-seven thousand, two hundred".