505271138628000 has 1536 divisors, whose sum is σ = 1896441675448320. Its totient is φ = 116942192640000.

The previous prime is 505271138627993. The next prime is 505271138628023. The reversal of 505271138628000 is 826831172505.

It is a super-3 number, since 3×505271138628000³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11149189341 + ... + 11149234659.

It is an arithmetic number, because the mean of its divisors is an integer number (1234662549120).

Almost surely, 2^{505271138628000} is an apocalyptic number.

505271138628000 is a gapful number since it is divisible by the number (50) 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 505271138628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948220837724160).

505271138628000 is an abundant number, since it is smaller than the sum of its proper divisors (1391170536820320).

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

505271138628000 is a wasteful number, since it uses less digits than its factorization.

505271138628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45479 (or 45461 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 505271138628000 in words is "five hundred five trillion, two hundred seventy-one billion, one hundred thirty-eight million, six hundred twenty-eight thousand".