81894878208000 has 1344 divisors, whose sum is σ = 346861334199744. Its totient is φ = 18325831680000.

The previous prime is 81894878207983. The next prime is 81894878208001. The reversal of 81894878208000 is 80287849818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81894878208001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1317856930 + ... + 1317919070.

It is an arithmetic number, because the mean of its divisors is an integer number (258081349851).

Almost surely, 2^{81894878208000} is an apocalyptic number.

81894878208000 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 81894878208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173430667099872).

81894878208000 is an abundant number, since it is smaller than the sum of its proper divisors (264966455991744).

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

81894878208000 is a wasteful number, since it uses less digits than its factorization.

81894878208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62212 (or 62175 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 81894878208000 in words is "eighty-one trillion, eight hundred ninety-four billion, eight hundred seventy-eight million, two hundred eight thousand".