81875870496 has 360 divisors, whose sum is σ = 279848257920. Its totient is φ = 23000350464.

The previous prime is 81875870477. The next prime is 81875870513. The reversal of 81875870496 is 69407857818.

81875870496 is a `hidden beast` number, since 8 + 1 + 8 + 7 + 587 + 0 + 49 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 342576745 + ... + 342576983.

It is an arithmetic number, because the mean of its divisors is an integer number (777356272).

Almost surely, 2^81875870496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81875870496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139924128960).

81875870496 is an abundant number, since it is smaller than the sum of its proper divisors (197972387424).

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

81875870496 is an equidigital number, since it uses as much as digits as its factorization.

81875870496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 81875870496 in words is "eighty-one billion, eight hundred seventy-five million, eight hundred seventy thousand, four hundred ninety-six".