505659979440 has 720 divisors, whose sum is σ = 2187935463168. Its totient is φ = 101672064000.

The previous prime is 505659979439. The next prime is 505659979453. The reversal of 505659979440 is 44979956505.

505659979440 is a `hidden beast` number, since 5 + 0 + 56 + 59 + 97 + 9 + 440 = 666.

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

It is a super-2 number, since 2×505659979440² (a number of 24 digits) contains 22 as substring.

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

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, 53273095 + ... + 53282585.

Almost surely, 2^505659979440 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 505659979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093967731584).

505659979440 is an abundant number, since it is smaller than the sum of its proper divisors (1682275483728).

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

505659979440 is a wasteful number, since it uses less digits than its factorization.

505659979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9590 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 505659979440 in words is "five hundred five billion, six hundred fifty-nine million, nine hundred seventy-nine thousand, four hundred forty".