427806077160528 has 1280 divisors, whose sum is σ = 1467193579315200. Its totient is φ = 117865507553280.

The previous prime is 427806077160499. The next prime is 427806077160559. The reversal of 427806077160528 is 825061770608724.

It is a happy number.

427806077160528 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 0 + 607 + 7 + 16 + 0 + 5 + 2 + 8 = 666.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 293218695063 + ... + 293218696521.

It is an arithmetic number, because the mean of its divisors is an integer number (1146244983840).

Almost surely, 2^{427806077160528} is an apocalyptic number.

427806077160528 is a gapful number since it is divisible by the number (48) 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 427806077160528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733596789657600).

427806077160528 is an abundant number, since it is smaller than the sum of its proper divisors (1039387502154672).

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

427806077160528 is a wasteful number, since it uses less digits than its factorization.

427806077160528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 427806077160528 in words is "four hundred twenty-seven trillion, eight hundred six billion, seventy-seven million, one hundred sixty thousand, five hundred twenty-eight".