81425460123072 has 560 divisors, whose sum is σ = 277237480433760. Its totient is φ = 23408060203008.

The previous prime is 81425460123053. The next prime is 81425460123079. The reversal of 81425460123072 is 27032106452418.

81425460123072 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 5 + 4 + 601 + 2 + 30 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81425460123079) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 156696579 + ... + 157215357.

It is an arithmetic number, because the mean of its divisors is an integer number (495066929346).

Almost surely, 2^{81425460123072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81425460123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138618740216880).

81425460123072 is an abundant number, since it is smaller than the sum of its proper divisors (195812020310688).

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

81425460123072 is a wasteful number, since it uses less digits than its factorization.

81425460123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518970 (or 518951 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 81425460123072 in words is "eighty-one trillion, four hundred twenty-five billion, four hundred sixty million, one hundred twenty-three thousand, seventy-two".