81248444081280 has 1024 divisors, whose sum is σ = 333228183552000. Its totient is φ = 18554041626624.

The previous prime is 81248444081263. The next prime is 81248444081303. The reversal of 81248444081280 is 8218044484218.

81248444081280 is a `hidden beast` number, since 8 + 1 + 2 + 48 + 4 + 440 + 81 + 2 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12923242297 + ... + 12923248583.

It is an arithmetic number, because the mean of its divisors is an integer number (325418148000).

Almost surely, 2^{81248444081280} is an apocalyptic number.

81248444081280 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 81248444081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166614091776000).

81248444081280 is an abundant number, since it is smaller than the sum of its proper divisors (251979739470720).

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

81248444081280 is an equidigital number, since it uses as much as digits as its factorization.

81248444081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 54.

The spelling of 81248444081280 in words is "eighty-one trillion, two hundred forty-eight billion, four hundred forty-four million, eighty-one thousand, two hundred eighty".