505690692579072 has 3456 divisors, whose sum is σ = 2148676685955072. Its totient is φ = 114316605849600.

The previous prime is 505690692578987. The next prime is 505690692579103. The reversal of 505690692579072 is 270975296096505.

It is a happy number.

505690692579072 is a `hidden beast` number, since 5 + 0 + 569 + 0 + 6 + 9 + 2 + 57 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×505690692579072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 101687247178 + ... + 101687252150.

It is an arithmetic number, because the mean of its divisors is an integer number (621723578112).

Almost surely, 2^{505690692579072} is an apocalyptic number.

505690692579072 is a gapful number since it is divisible by the number (52) 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 505690692579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074338342977536).

505690692579072 is an abundant number, since it is smaller than the sum of its proper divisors (1642985993376000).

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

505690692579072 is a wasteful number, since it uses less digits than its factorization.

505690692579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 72.

The spelling of 505690692579072 in words is "five hundred five trillion, six hundred ninety billion, six hundred ninety-two million, five hundred seventy-nine thousand, seventy-two".