81468883883520 has 2880 divisors, whose sum is σ = 357390998654976. Its totient is φ = 17405659054080.

The previous prime is 81468883883509. The next prime is 81468883883521. The reversal of 81468883883520 is 2538838886418.

81468883883520 is a `hidden beast` number, since 8 + 1 + 4 + 68 + 8 + 8 + 38 + 8 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81468883883521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 127096542400 + ... + 127096543040.

Almost surely, 2^{81468883883520} is an apocalyptic number.

81468883883520 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 81468883883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178695499327488).

81468883883520 is an abundant number, since it is smaller than the sum of its proper divisors (275922114771456).

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

81468883883520 is an frugal number, since it uses more digits than its factorization.

81468883883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 81468883883520 in words is "eighty-one trillion, four hundred sixty-eight billion, eight hundred eighty-three million, eight hundred eighty-three thousand, five hundred twenty".