81283816932054 has 256 divisors, whose sum is σ = 185374089492480. Its totient is φ = 23546593280000.

The previous prime is 81283816932053. The next prime is 81283816932089. The reversal of 81283816932054 is 45023961838218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81283816932053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25911320374 + ... + 25911323510.

It is an arithmetic number, because the mean of its divisors is an integer number (724117537080).

Almost surely, 2^{81283816932054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81283816932054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92687044746240).

81283816932054 is an abundant number, since it is smaller than the sum of its proper divisors (104090272560426).

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

81283816932054 is a wasteful number, since it uses less digits than its factorization.

81283816932054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247.

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 81283816932054 in words is "eighty-one trillion, two hundred eighty-three billion, eight hundred sixteen million, nine hundred thirty-two thousand, fifty-four".