81526019238976 has 189 divisors, whose sum is σ = 186127245069759. Its totient is φ = 35407082999808.

The previous prime is 81526019238947. The next prime is 81526019238977. The reversal of 81526019238976 is 67983291062518.

The square root of 81526019238976 is 9029176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 736122816576 + 80789896422400 = 857976^2 + 8988320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81526019238977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15963580615 + ... + 15963585721.

Almost surely, 2^{81526019238976} is an apocalyptic number.

81526019238976 is the 9029176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81526019238976

81526019238976 is an abundant number, since it is smaller than the sum of its proper divisors (104601225830783).

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

81526019238976 is an frugal number, since it uses more digits than its factorization.

81526019238976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 81526019238976 in words is "eighty-one trillion, five hundred twenty-six billion, nineteen million, two hundred thirty-eight thousand, nine hundred seventy-six".