81128521728000 has 3200 divisors, whose sum is σ = 342021341376000. Its totient is φ = 19025362944000.

The previous prime is 81128521727989. The next prime is 81128521728011. The reversal of 81128521728000 is 82712582118.

81128521728000 is a `hidden beast` number, since 8 + 112 + 8 + 521 + 7 + 2 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81128521727989) and next prime (81128521728011).

It is a tau number, because it is divible by the number of its divisors (3200).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2617049087985 + ... + 2617049088015.

It is an arithmetic number, because the mean of its divisors is an integer number (106881669180).

Almost surely, 2^{81128521728000} is an apocalyptic number.

81128521728000 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 81128521728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171010670688000).

81128521728000 is an abundant number, since it is smaller than the sum of its proper divisors (260892819648000).

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

81128521728000 is an frugal number, since it uses more digits than its factorization.

81128521728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 81128521728000 in words is "eighty-one trillion, one hundred twenty-eight billion, five hundred twenty-one million, seven hundred twenty-eight thousand".