81430813900800 has 3072 divisors, whose sum is σ = 384447393792000. Its totient is φ = 16424663777280.

The previous prime is 81430813900759. The next prime is 81430813900829. The reversal of 81430813900800 is 800931803418.

81430813900800 is a `hidden beast` number, since 8 + 1 + 430 + 8 + 139 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46293810321 + ... + 46293812079.

It is an arithmetic number, because the mean of its divisors is an integer number (125145636000).

Almost surely, 2^{81430813900800} is an apocalyptic number.

81430813900800 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 81430813900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192223696896000).

81430813900800 is an abundant number, since it is smaller than the sum of its proper divisors (303016579891200).

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

81430813900800 is a wasteful number, since it uses less digits than its factorization.

81430813900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 81430813900800 in words is "eighty-one trillion, four hundred thirty billion, eight hundred thirteen million, nine hundred thousand, eight hundred".