501045912000000 has 1400 divisors, whose sum is σ = 1915033884908760. Its totient is φ = 130346496000000.

The previous prime is 501045911999999. The next prime is 501045912000083. The reversal of 501045912000000 is 219540105.

501045912000000 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 459 + 1 + 200 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 26567990571 + ... + 26568009429.

Almost surely, 2^{501045912000000} is an apocalyptic number.

501045912000000 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 501045912000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957516942454380).

501045912000000 is an abundant number, since it is smaller than the sum of its proper divisors (1413987972908760).

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

501045912000000 is an frugal number, since it uses more digits than its factorization.

501045912000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18960 (or 18910 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 501045912000000 in words is "five hundred one trillion, forty-five billion, nine hundred twelve million", and thus it is an aban number.