506006653501440 has 4320 divisors, whose sum is σ = 2328278041615680. Its totient is φ = 102370042183680.

The previous prime is 506006653501373. The next prime is 506006653501477. The reversal of 506006653501440 is 44105356600605.

506006653501440 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 0 + 66 + 535 + 0 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×506006653501440² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4642262876106 + ... + 4642262876214.

It is an arithmetic number, because the mean of its divisors is an integer number (538953250374).

Almost surely, 2^{506006653501440} 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 506006653501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164139020807840).

506006653501440 is an abundant number, since it is smaller than the sum of its proper divisors (1822271388114240).

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

506006653501440 is an equidigital number, since it uses as much as digits as its factorization.

506006653501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 506006653501440 in words is "five hundred six trillion, six billion, six hundred fifty-three million, five hundred one thousand, four hundred forty".