81484879872000 has 3840 divisors, whose sum is σ = 339184690790400. Its totient is φ = 17128488960000.

The previous prime is 81484879871929. The next prime is 81484879872001. The reversal of 81484879872000 is 27897848418.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81484879872001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 915560447956 + ... + 915560448044.

It is an arithmetic number, because the mean of its divisors is an integer number (88329346560).

Almost surely, 2^{81484879872000} is an apocalyptic number.

81484879872000 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 81484879872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169592345395200).

81484879872000 is an abundant number, since it is smaller than the sum of its proper divisors (257699810918400).

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

81484879872000 is a wasteful number, since it uses less digits than its factorization.

81484879872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 81484879872000 in words is "eighty-one trillion, four hundred eighty-four billion, eight hundred seventy-nine million, eight hundred seventy-two thousand".