505655032653120 has 448 divisors, whose sum is σ = 1854382027470336. Its totient is φ = 114345970237440.

The previous prime is 505655032653119. The next prime is 505655032653149. The reversal of 505655032653120 is 21356230556505.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 505655032653120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1846525810 + ... + 1846799630.

It is an arithmetic number, because the mean of its divisors is an integer number (4139245597032).

Almost surely, 2^{505655032653120} 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 505655032653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927191013735168).

505655032653120 is an abundant number, since it is smaller than the sum of its proper divisors (1348726994817216).

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

505655032653120 is a wasteful number, since it uses less digits than its factorization.

505655032653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276778 (or 276768 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 505655032653120 in words is "five hundred five trillion, six hundred fifty-five billion, thirty-two million, six hundred fifty-three thousand, one hundred twenty".