81012288000 has 960 divisors, whose sum is σ = 320197363200. Its totient is φ = 18114969600.

The previous prime is 81012287999. The next prime is 81012288047. The reversal of 81012288000 is 88221018.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 743231946 + ... + 743232054.

It is an arithmetic number, because the mean of its divisors is an integer number (333538920).

Almost surely, 2^81012288000 is an apocalyptic number.

81012288000 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 81012288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160098681600).

81012288000 is an abundant number, since it is smaller than the sum of its proper divisors (239185075200).

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

81012288000 is a wasteful number, since it uses less digits than its factorization.

81012288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 81012288000 in words is "eighty-one billion, twelve million, two hundred eighty-eight thousand".