81954705962130 has 128 divisors (see below), whose sum is σ = 206797503983616. Its totient is φ = 20746539475200.

The previous prime is 81954705962111. The next prime is 81954705962141. The reversal of 81954705962130 is 3126950745918.

It is a happy number.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 60652747 + ... + 61989233.

It is an arithmetic number, because the mean of its divisors is an integer number (1615605499872).

It is a 1-persistent number, because it is pandigital, but 2⋅81954705962130 = 163909411924260 is not.

Almost surely, 2^{81954705962130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81954705962130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103398751991808).

81954705962130 is an abundant number, since it is smaller than the sum of its proper divisors (124842798021486).

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

81954705962130 is a wasteful number, since it uses less digits than its factorization.

81954705962130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337192.

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 81954705962130 in words is "eighty-one trillion, nine hundred fifty-four billion, seven hundred five million, nine hundred sixty-two thousand, one hundred thirty".