81404795052 has 576 divisors, whose sum is σ = 267698995200. Its totient is φ = 20752091136.

The previous prime is 81404795033. The next prime is 81404795083. The reversal of 81404795052 is 25059740418.

81404795052 is a `hidden beast` number, since 81 + 4 + 0 + 479 + 50 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81404794989 and 81404795007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365043813 + ... + 365044035.

It is an arithmetic number, because the mean of its divisors is an integer number (464755200).

Almost surely, 2^81404795052 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 81404795052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133849497600).

81404795052 is an abundant number, since it is smaller than the sum of its proper divisors (186294200148).

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

81404795052 is a wasteful number, since it uses less digits than its factorization.

81404795052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 81404795052 in words is "eighty-one billion, four hundred four million, seven hundred ninety-five thousand, fifty-two".