81381176960000 has 440 divisors, whose sum is σ = 217004139696960. Its totient is φ = 30404505600000.

The previous prime is 81381176959969. The next prime is 81381176960021. The reversal of 81381176960000 is 6967118318.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 863312870 + ... + 863407130.

It is an arithmetic number, because the mean of its divisors is an integer number (493191226584).

Almost surely, 2^{81381176960000} is an apocalyptic number.

81381176960000 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 81381176960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108502069848480).

81381176960000 is an abundant number, since it is smaller than the sum of its proper divisors (135622962736960).

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

81381176960000 is an equidigital number, since it uses as much as digits as its factorization.

81381176960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94391 (or 94358 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 81381176960000 in words is "eighty-one trillion, three hundred eighty-one billion, one hundred seventy-six million, nine hundred sixty thousand".