503552896680960 has 5632 divisors, whose sum is σ = 2321032472985600. Its totient is φ = 102163650969600.

The previous prime is 503552896680949. The next prime is 503552896681007. The reversal of 503552896680960 is 69086698255305.

503552896680960 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 528 + 9 + 6 + 6 + 8 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 511 ways as a sum of consecutive naturals, for example, 2089431106440 + ... + 2089431106680.

It is an arithmetic number, because the mean of its divisors is an integer number (412115140800).

Almost surely, 2^{503552896680960} 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 503552896680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160516236492800).

503552896680960 is an abundant number, since it is smaller than the sum of its proper divisors (1817479576304640).

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

503552896680960 is a wasteful number, since it uses less digits than its factorization.

503552896680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 503552896680960 in words is "five hundred three trillion, five hundred fifty-two billion, eight hundred ninety-six million, six hundred eighty thousand, nine hundred sixty".