81071424000 has 480 divisors, whose sum is σ = 333735532416. Its totient is φ = 18529689600.

The previous prime is 81071423903. The next prime is 81071424011. The reversal of 81071424000 is 42417018.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4021947 + ... + 4042053.

Almost surely, 2^81071424000 is an apocalyptic number.

81071424000 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 81071424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166867766208).

81071424000 is an abundant number, since it is smaller than the sum of its proper divisors (252664108416).

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

81071424000 is a wasteful number, since it uses less digits than its factorization.

81071424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20153 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 81071424000 in words is "eighty-one billion, seventy-one million, four hundred twenty-four thousand".