506162050741620 has 1536 divisors, whose sum is σ = 1982367417139200. Its totient is φ = 104379848294400.

The previous prime is 506162050741559. The next prime is 506162050741639. The reversal of 506162050741620 is 26147050261605.

506162050741620 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 6 + 205 + 0 + 7 + 416 + 20 = 666.

It is a super-2 number, since 2×506162050741620² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 616518940810 + ... + 616518941630.

It is an arithmetic number, because the mean of its divisors is an integer number (1290603787200).

Almost surely, 2^{506162050741620} 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 506162050741620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991183708569600).

506162050741620 is an abundant number, since it is smaller than the sum of its proper divisors (1476205366397580).

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

506162050741620 is a wasteful number, since it uses less digits than its factorization.

506162050741620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 506162050741620 in words is "five hundred six trillion, one hundred sixty-two billion, fifty million, seven hundred forty-one thousand, six hundred twenty".