81094648007520 has 720 divisors, whose sum is σ = 333006901421040. Its totient is φ = 18531220248576.

The previous prime is 81094648007467. The next prime is 81094648007533. The reversal of 81094648007520 is 2570084649018.

It is a happy number.

81094648007520 is a `hidden beast` number, since 8 + 1 + 0 + 94 + 6 + 480 + 0 + 75 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 2919264991 + ... + 2919292769.

It is an arithmetic number, because the mean of its divisors is an integer number (462509585307).

Almost surely, 2^{81094648007520} is an apocalyptic number.

81094648007520 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 81094648007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166503450710520).

81094648007520 is an abundant number, since it is smaller than the sum of its proper divisors (251912253413520).

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

81094648007520 is a wasteful number, since it uses less digits than its factorization.

81094648007520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32417 (or 32393 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 81094648007520 in words is "eighty-one trillion, ninety-four billion, six hundred forty-eight million, seven thousand, five hundred twenty".