81572268960 has 576 divisors, whose sum is σ = 345807221760. Its totient is φ = 17049968640.

The previous prime is 81572268959. The next prime is 81572268979. The reversal of 81572268960 is 6986227518.

81572268960 is a `hidden beast` number, since 8 + 1 + 572 + 2 + 6 + 8 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81572268897 and 81572268906.

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 95 ways as a sum of consecutive naturals, for example, 14280505 + ... + 14286215.

It is an arithmetic number, because the mean of its divisors is an integer number (600359760).

Almost surely, 2^81572268960 is an apocalyptic number.

81572268960 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 81572268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172903610880).

81572268960 is an abundant number, since it is smaller than the sum of its proper divisors (264234952800).

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

81572268960 is a wasteful number, since it uses less digits than its factorization.

81572268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 81572268960 in words is "eighty-one billion, five hundred seventy-two million, two hundred sixty-eight thousand, nine hundred sixty".