81254542430880 has 768 divisors, whose sum is σ = 355243855196160. Its totient is φ = 16887932227584.

The previous prime is 81254542430849. The next prime is 81254542430899. The reversal of 81254542430880 is 8803424545218.

81254542430880 is a `hidden beast` number, since 8 + 1 + 2 + 54 + 542 + 43 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 24796567 + ... + 27881513.

It is an arithmetic number, because the mean of its divisors is an integer number (462557103120).

Almost surely, 2^{81254542430880} is an apocalyptic number.

81254542430880 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 81254542430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177621927598080).

81254542430880 is an abundant number, since it is smaller than the sum of its proper divisors (273989312765280).

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

81254542430880 is a wasteful number, since it uses less digits than its factorization.

81254542430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085058 (or 3085044 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 81254542430880 in words is "eighty-one trillion, two hundred fifty-four billion, five hundred forty-two million, four hundred thirty thousand, eight hundred eighty".