506533026144 has 48 divisors (see below), whose sum is σ = 1334704960512. Its totient is φ = 168202339968.

The previous prime is 506533026143. The next prime is 506533026247. The reversal of 506533026144 is 441620335605.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506533026143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10005904 + ... + 10056399.

It is an arithmetic number, because the mean of its divisors is an integer number (27806353344).

Almost surely, 2^506533026144 is an apocalyptic number.

It is an amenable number.

506533026144 is an abundant number, since it is smaller than the sum of its proper divisors (828171934368).

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

506533026144 is a wasteful number, since it uses less digits than its factorization.

506533026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062579 (or 20062571 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 506533026144 in words is "five hundred six billion, five hundred thirty-three million, twenty-six thousand, one hundred forty-four".