81679150675584 has 1152 divisors, whose sum is σ = 315059757667200. Its totient is φ = 19823111700480.

The previous prime is 81679150675517. The next prime is 81679150675597. The reversal of 81679150675584 is 48557605197618.

81679150675584 is a `hidden beast` number, since 8 + 1 + 6 + 7 + 9 + 1 + 5 + 0 + 67 + 558 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×81679150675584² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 1353326752 + ... + 1353387104.

It is an arithmetic number, because the mean of its divisors is an integer number (273489372975).

Almost surely, 2^{81679150675584} is an apocalyptic number.

81679150675584 is a gapful number since it is divisible by the number (84) 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 81679150675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157529878833600).

81679150675584 is an abundant number, since it is smaller than the sum of its proper divisors (233380606991616).

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

81679150675584 is a wasteful number, since it uses less digits than its factorization.

81679150675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60494 (or 60468 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 81679150675584 in words is "eighty-one trillion, six hundred seventy-nine billion, one hundred fifty million, six hundred seventy-five thousand, five hundred eighty-four".