81229866250960 has 160 divisors (see below), whose sum is σ = 223267081420800. Its totient is φ = 26895575370240.

The previous prime is 81229866250927. The next prime is 81229866251011. The reversal of 81229866250960 is 6905266892218.

It is a super-2 number, since 2×81229866250960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81229866250892 and 81229866250901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3431161 + ... + 13199719.

It is an arithmetic number, because the mean of its divisors is an integer number (1395419258880).

Almost surely, 2^{81229866250960} is an apocalyptic number.

81229866250960 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 81229866250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111633540710400).

81229866250960 is an abundant number, since it is smaller than the sum of its proper divisors (142037215169840).

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

81229866250960 is a wasteful number, since it uses less digits than its factorization.

81229866250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769089 (or 9769083 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 81229866250960 in words is "eighty-one trillion, two hundred twenty-nine billion, eight hundred sixty-six million, two hundred fifty thousand, nine hundred sixty".