804506720127552 has 1344 divisors, whose sum is σ = 2640224506622976. Its totient is φ = 232365081231360.

The previous prime is 804506720127527. The next prime is 804506720127563. The reversal of 804506720127552 is 255721027605408.

It is a happy number.

804506720127552 is a `hidden beast` number, since 8 + 0 + 4 + 5 + 0 + 6 + 72 + 0 + 12 + 7 + 552 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1243441607293 + ... + 1243441607939.

It is an arithmetic number, because the mean of its divisors is an integer number (1964452757904).

Almost surely, 2^{804506720127552} 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 804506720127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320112253311488).

804506720127552 is an abundant number, since it is smaller than the sum of its proper divisors (1835717786495424).

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

804506720127552 is a wasteful number, since it uses less digits than its factorization.

804506720127552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 804506720127552 in words is "eight hundred four trillion, five hundred six billion, seven hundred twenty million, one hundred twenty-seven thousand, five hundred fifty-two".