81885888000 has 960 divisors, whose sum is σ = 352125176832. Its totient is φ = 17882726400.

The previous prime is 81885887969. The next prime is 81885888017. The reversal of 81885888000 is 88858818.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92735559 + ... + 92736441.

Almost surely, 2^81885888000 is an apocalyptic number.

81885888000 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 81885888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176062588416).

81885888000 is an abundant number, since it is smaller than the sum of its proper divisors (270239288832).

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

81885888000 is a wasteful number, since it uses less digits than its factorization.

81885888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 54.

The spelling of 81885888000 in words is "eighty-one billion, eight hundred eighty-five million, eight hundred eighty-eight thousand".