81040896000 has 624 divisors, whose sum is σ = 299668717920. Its totient is φ = 21056716800.

The previous prime is 81040895983. The next prime is 81040896029. The reversal of 81040896000 is 69804018.

It is a happy number.

81040896000 is a `hidden beast` number, since 8 + 1 + 0 + 40 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198143796 + ... + 198144204.

It is an arithmetic number, because the mean of its divisors is an integer number (480238330).

Almost surely, 2^81040896000 is an apocalyptic number.

81040896000 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 81040896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149834358960).

81040896000 is an abundant number, since it is smaller than the sum of its proper divisors (218627821920).

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

81040896000 is a wasteful number, since it uses less digits than its factorization.

81040896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 81040896000 in words is "eighty-one billion, forty million, eight hundred ninety-six thousand".