81901087027200 has 2808 divisors, whose sum is σ = 369558134737792. Its totient is φ = 17608228208640.

The previous prime is 81901087027127. The next prime is 81901087027289. The reversal of 81901087027200 is 272078010918.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50338712787 + ... + 50338714413.

Almost surely, 2^{81901087027200} is an apocalyptic number.

81901087027200 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 81901087027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184779067368896).

81901087027200 is an abundant number, since it is smaller than the sum of its proper divisors (287657047710592).

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

81901087027200 is a wasteful number, since it uses less digits than its factorization.

81901087027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 81901087027200 in words is "eighty-one trillion, nine hundred one billion, eighty-seven million, twenty-seven thousand, two hundred".