81567360000 has 1485 divisors, whose sum is σ = 363685059309. Its totient is φ = 17547264000.

The previous prime is 81567359989. The next prime is 81567360013. The reversal of 81567360000 is 6376518.

The square root of 81567360000 is 285600.

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

It can be written as a sum of positive squares in 7 ways, for example, as 39833773056 + 41733586944 = 199584^2 + 204288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4798079992 + ... + 4798080008.

Almost surely, 2^81567360000 is an apocalyptic number.

81567360000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

81567360000 is the 285600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81567360000

81567360000 is an abundant number, since it is smaller than the sum of its proper divisors (282117699309).

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

81567360000 is a wasteful number, since it uses less digits than its factorization.

81567360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 81567360000 by its sum of digits (36), we get a square (2936424960000 = 1713600²).

81567360000 divided by its sum of digits (36) gives a square (2265760000 = 47600²).

The spelling of 81567360000 in words is "eighty-one billion, five hundred sixty-seven million, three hundred sixty thousand".