501123948480 has 896 divisors, whose sum is σ = 1889779507200. Its totient is φ = 124746006528.

The previous prime is 501123948473. The next prime is 501123948487. The reversal of 501123948480 is 84849321105.

501123948480 is a `hidden beast` number, since 5 + 0 + 1 + 123 + 9 + 48 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (501123948473) and next prime (501123948487).

It is a super-2 number, since 2×501123948480² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (501123948487) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2150746444 + ... + 2150746676.

Almost surely, 2^501123948480 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 501123948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944889753600).

501123948480 is an abundant number, since it is smaller than the sum of its proper divisors (1388655558720).

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

501123948480 is a wasteful number, since it uses less digits than its factorization.

501123948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 501123948480 in words is "five hundred one billion, one hundred twenty-three million, nine hundred forty-eight thousand, four hundred eighty".