535554020502144 has 256 divisors, whose sum is σ = 1806514442208000. Its totient is φ = 153008469061632.

The previous prime is 535554020502133. The next prime is 535554020502167. The reversal of 535554020502144 is 441205020455535.

535554020502144 is a `hidden beast` number, since 5 + 3 + 5 + 55 + 402 + 0 + 50 + 2 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 535554020502144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543077422 + ... + 544062674.

It is an arithmetic number, because the mean of its divisors is an integer number (7056697039875).

Almost surely, 2^{535554020502144} is an apocalyptic number.

535554020502144 is a gapful number since it is divisible by the number (54) 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 535554020502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903257221104000).

535554020502144 is an abundant number, since it is smaller than the sum of its proper divisors (1270960421705856).

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

535554020502144 is a wasteful number, since it uses less digits than its factorization.

535554020502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007752 (or 1007734 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

Adding to 535554020502144 its reverse (441205020455535), we get a palindrome (976759040957679).

The spelling of 535554020502144 in words is "five hundred thirty-five trillion, five hundred fifty-four billion, twenty million, five hundred two thousand, one hundred forty-four".