81411328627200 has 2400 divisors, whose sum is σ = 365425288284672. Its totient is φ = 17629249536000.

The previous prime is 81411328627129. The next prime is 81411328627253. The reversal of 81411328627200 is 272682311418.

81411328627200 is a `hidden beast` number, since 8 + 1 + 4 + 1 + 13 + 2 + 8 + 627 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 4596125544 + ... + 4596143256.

Almost surely, 2^{81411328627200} is an apocalyptic number.

81411328627200 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 81411328627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182712644142336).

81411328627200 is an abundant number, since it is smaller than the sum of its proper divisors (284013959657472).

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

81411328627200 is a wasteful number, since it uses less digits than its factorization.

81411328627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17808 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 81411328627200 in words is "eighty-one trillion, four hundred eleven billion, three hundred twenty-eight million, six hundred twenty-seven thousand, two hundred".