81852696560880 has 720 divisors, whose sum is σ = 330664129855488. Its totient is φ = 18073819008000.

The previous prime is 81852696560861. The next prime is 81852696560903. The reversal of 81852696560880 is 8806569625818.

81852696560880 is a `hidden beast` number, since 8 + 1 + 8 + 5 + 2 + 6 + 9 + 6 + 5 + 608 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 81852696560799 and 81852696560808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 624425745 + ... + 624556815.

Almost surely, 2^{81852696560880} is an apocalyptic number.

81852696560880 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 81852696560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165332064927744).

81852696560880 is an abundant number, since it is smaller than the sum of its proper divisors (248811433294608).

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

81852696560880 is a wasteful number, since it uses less digits than its factorization.

81852696560880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131706 (or 131690 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 81852696560880 in words is "eighty-one trillion, eight hundred fifty-two billion, six hundred ninety-six million, five hundred sixty thousand, eight hundred eighty".