81808896000000 has 1792 divisors, whose sum is σ = 312229319038560. Its totient is φ = 18874368000000.

The previous prime is 81808895999977. The next prime is 81808896000011. The reversal of 81808896000000 is 69880818.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339455999880 + ... + 339456000120.

Almost surely, 2^{81808896000000} is an apocalyptic number.

81808896000000 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 81808896000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156114659519280).

81808896000000 is an abundant number, since it is smaller than the sum of its proper divisors (230420423038560).

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

81808896000000 is an frugal number, since it uses more digits than its factorization.

81808896000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 81808896000000 in words is "eighty-one trillion, eight hundred eight billion, eight hundred ninety-six million", and thus it is an aban number.